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Finding the Fourth Proportional to 10,283.68, 14,193.30 and 9,816.22

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Solution

The fourth proportional to 10,283.68, 14,193.30 and 9,816.22 is: 13,548.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.68 : 14,193.30 = 9,816.22 : x
  2. Step 2: Convert to fraction form
    10,283.68/14,193.30 = 9,816.22/x
  3. Step 3: Cross multiply
    10,283.68x = 14,193.30 × 9,816.22
  4. Step 4: Simplify right side
    10,283.68x = 139,324,555.33
  5. Step 5: Solve for x
    x = 139,324,555.33/10,283.68
  6. Step 6: Final answer
    x = 13,548.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.