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A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour. At 2 p.m., the amount of oil left in the lantern is 63 ounces. At 5 p.m., the amount of oil left in the lantern is 6112 ounces.

Based on the average rate of oil burning per hour, how much oil, in ounces, was in the lantern at noon?