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Finding the Fourth Proportional to 9,229.88, 12,737.23 and 5,038.13

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Solution

The fourth proportional to 9,229.88, 12,737.23 and 5,038.13 is: 6,952.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.88 : 12,737.23 = 5,038.13 : x
  2. Step 2: Convert to fraction form
    9,229.88/12,737.23 = 5,038.13/x
  3. Step 3: Cross multiply
    9,229.88x = 12,737.23 × 5,038.13
  4. Step 4: Simplify right side
    9,229.88x = 64,171,820.58
  5. Step 5: Solve for x
    x = 64,171,820.58/9,229.88
  6. Step 6: Final answer
    x = 6,952.62

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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.