The estimated total earnings from selling 85,248 dumplings at $9.89 per plate: around $70,238.56.
To find the total earnings of the dumpling shop, we can start by determining the number of plates sold. If 85,248 dumplings were sold and there are 12 dumplings per plate, dividing the total dumplings by the number of dumplings per plate gives us the number of plates sold:

Now that we know 7,104 plates were sold, we can calculate the total earnings. Each plate sells for $9.89, so multiplying the number of plates by the price per plate will give us the shop's earnings:

Thus, the shop’s total earnings from selling dumplings would be approximately $70,238.56. This value represents the estimated total income generated by the sale of 85,248 dumplings at a price of $9.89 per plate with 12 dumplings in each plate.
This calculation assumes that all dumplings were sold as complete plates and that there were no other costs or discounts involved. It's an estimate based on the given information, as actual earnings might vary due to factors like promotions, costs, or variations in the number of dumplings sold per plate.