Door tag:
GVWR 9200#........so your truck weighs 7820#. You can 'load/carry---pin weight' 1320# before going over GVWR
GAWR FRT 4670#........should show on weight ticket you got what front axle weighed. You will be under that GAWR. Even when you hook up a 5vr as very little weight goes on front axle----5th wheel adds weigh to rear axle
GAWR RR 6084#.......you weighed 3420#. That leaves 2664# before you would overload/exceed RAWR
So if you go by TRUCK Gross Weight Ratings (not towing or combined weight) you have limited options.
Stay under Trucks GVWR.....that means basically frget 5th wheel and look at bumper pulls
Forget Trucks GVWR and go with RAWR....that means 12K GVWR 5vr
Or go with 'published' BS numbers and take trucks weight 7820# subtracted from GCWR 22,000# and get your self a 14,180# 5vr and forget about ANY of trucks weight ratings///////except them rear tires Just get some higher load rated tires.
It is simple math.....just have to make a choice on which numbers you want to use OR justify to use.