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To find the shop's total earnings from selling dumplings, we need to multiply the number of plates sold by the price per plate.
Number of plates sold = 85,248 dumplings / 12 dumplings per plate = 7104 plates
Total earnings = 7104 plates * $9.89 per plate
Total earnings ≈ $70440.96
Therefore, the best estimate for the shop's total earnings from selling dumplings is 80,000.