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Finding the Fourth Proportional to 10,380.84, 15,542.10 and 9,331.08

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Solution

The fourth proportional to 10,380.84, 15,542.10 and 9,331.08 is: 13,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.84 : 15,542.10 = 9,331.08 : x
  2. Step 2: Convert to fraction form
    10,380.84/15,542.10 = 9,331.08/x
  3. Step 3: Cross multiply
    10,380.84x = 15,542.10 × 9,331.08
  4. Step 4: Simplify right side
    10,380.84x = 145,024,578.47
  5. Step 5: Solve for x
    x = 145,024,578.47/10,380.84
  6. Step 6: Final answer
    x = 13,970.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.