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Finding the Fourth Proportional to 9,232.48, 12,737.20 and 5,689.54

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Solution

The fourth proportional to 9,232.48, 12,737.20 and 5,689.54 is: 7,849.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.48 : 12,737.20 = 5,689.54 : x
  2. Step 2: Convert to fraction form
    9,232.48/12,737.20 = 5,689.54/x
  3. Step 3: Cross multiply
    9,232.48x = 12,737.20 × 5,689.54
  4. Step 4: Simplify right side
    9,232.48x = 72,468,716.75
  5. Step 5: Solve for x
    x = 72,468,716.75/9,232.48
  6. Step 6: Final answer
    x = 7,849.33

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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.