At this point you can only trust Fuji that they are correct in what they are saying in that the camera is fine which leaves only the power source you are using. I'm a bit confused as to what you have written. You said you put Duracell in it and left it to charge. To my knowledge and I may be reading this incorrectly it appears to me you are installing batteries in the camera and possibly hooking up the USB download cable expecting the camera to charge the batteries. The camera has no charging capabilities and rechargeable batteries need to be charged in a separate device made specifically for this function. I also know that some chargers come with a clear plastic guard over the + (positive) terminals and if you do not remove this plastic part there is no way the batteries can be charges. The charging lights come on and will remain on but no charge will enter the batteries. Maybe a quick test would be if you have a flashlight that takes AA batteries you place them in there and turn the flashlight on. Once you have confirmed that there is battery power then insert the batteries into the camera make sure they are in the correct placement (orientation)
Here is a picture of the correct battery placement.
This diagram is found on page 13 of your owners manual
Another diagram I'm including is what the camera will show as the battery state of charge.
This is found on page 15
I sincerely hope this helps
I also have this problem - any news on a solution. Fuji support proved unhelpful
Same problem. S4000 camera, 4 months old, no trouble ...until day of big party. Cleared memory cards, charged batteries. And now it won't turn on. Batteries are fine (I also tried it with a brand new set; same result) and terminals uncorroded etc. Absolutely nothing. Fuji site says 'post it to us for repair'. Party is in 2 hours.
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