What was found
RIGHT MAIN TANK FUEL QTY IND STILL APPEARS TO BE ERRONEOUS. ON GROUND AFTER REFUELING, BOTH MAIN TANKS WERE WITHIN 20 LBS OF EACH OTHER . AFTER PUSH & ENG START OF NR 1 ENG, RT MAIN SHOT UP TO 8.89. THIS TREND CONTINUED THROUGH TAKEOFF, CLIMB & CRUISE UP TO 9.17 LBS. IMBAL LIGHT CAME ON ONCE CENTER TANK PUMPS WERE TURNED OFF. IMBAL BETWEEN 1000 & 750 LBS FOR REMAINDER. WHILE THERE IS A SUSPECTED PROBLEM WITH THE RT TANK FUEL QTY IND PROBLEM BECAME EXASPERATED WHEN CENTER TANK FUEL PUMPS TURNED OFF AT CRUISE. IMBAL WENT FROM 600 TO 1000 LBS. FUEL FLOW & FUEL USED REMAINED NEARLY IDENTICAL. GROUNDED - YES. TANK-TO-TANK FEED THRU CONNECTOR REPLACED. ALL LEAK, OP CHKS GOOD.