Towing 6355lbs/Yukon designed to pull 7,300 - Need advice

Same question that gets posted here almost daily. Answers will range from you're fine to you need a dually.
Bottom line is you will be fine, if you're experienced at towing. Remember, despite what the 6 pages I haven't read said, but trucks don't magically fall apart as you near the mfg published capacities. Know that they have to stupid proof to the best of their abilities for liability sake just like the don't stick you hand under the mower and don't take a bath with your toaster stickers!