First, we need to convert the mass of the pumpkin from kilograms to pounds:
1 kilogram = 2.20462 pounds
4.8 kilograms = 4.8 x 2.20462 = 10.582176 pounds
Rounding 10.582176 to the nearest tenth gives 10.6 pounds.
Now we can calculate the total amount the customer paid for the pumpkin:
Price per pound = $1.38
Weight of pumpkin = 10.6 pounds
Total amount paid = Price per pound x Weight of pumpkin
Total amount paid = $1.38 x 10.6
Total amount paid = $14.628
Rounding this to the nearest cent gives us $14.63.
Therefore, the total amount the customer could have paid for the pumpkin is $14.63.