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Finding the Fourth Proportional to 9,038.20, 13,539.42 and 7,081.24

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Solution

The fourth proportional to 9,038.20, 13,539.42 and 7,081.24 is: 10,607.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.20 : 13,539.42 = 7,081.24 : x
  2. Step 2: Convert to fraction form
    9,038.20/13,539.42 = 7,081.24/x
  3. Step 3: Cross multiply
    9,038.20x = 13,539.42 × 7,081.24
  4. Step 4: Simplify right side
    9,038.20x = 95,875,882.48
  5. Step 5: Solve for x
    x = 95,875,882.48/9,038.20
  6. Step 6: Final answer
    x = 10,607.85

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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.