How do i re-jet my carburetors on a 2007 suzuki LT-A 400F four wheeler?

Get the ..throttle positchion sensor tested .

A lack of fuel. Obviously the idle/low speed circuit is working inside the carburetor, but the high speed circuit isn't flowing fuel. You need to disassemble the carb and remove the main jet and needle jet and clean the holes in each. Then with some aerosol carb cleaner, blow out all the passageways. If it can get fuel, the motor will accelerate. One final thing to check is the air filter. Clean as necessary.

If you are lucky, you might just need new fuel filter and the fuel bowl cleaned out, and maybe new air filter. If not so lucky you need carburetor rebuilt. Backfire is usaully caused by engine running too lean ( too much air for the amount of fuel present). Fuel bowls get gunk in them and the fuel needles and fuel jets get varnished up. The accelerator pump gets worn out gaskets and/or bellows and doesn't give the right amount of fuel mist when you accelerate.

Full Choke is indicative of a motor starved for fuel

Sounds like a passageway may still be clogged. I suggest that you try dipping it in carb solution for a couple of hours, then rinse and blow out everything.

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you might have a dirty carb.check the big jet in there as it might have a blockage.sounds like you have enough gas going through the small jet to start the quad and for slow speed but when you want to give it good power, it starts to bog down.do the carb thing first

then the carburetor jets are cloged up. take it apart and do a good cleaning on it.

Try cleaning the spark plug with fine grit sandpaper,make sure air filters is cleaned,then make sure carb is cleaned pilot or idle jet might be clogged. good luck

push the starter crank till you feel the most resistance and that is TDC

Sounds like the idle jet is clogged