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Finding the Fourth Proportional to 9,124.46, 12,593.71 and 5,765.14

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Solution

The fourth proportional to 9,124.46, 12,593.71 and 5,765.14 is: 7,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.46 : 12,593.71 = 5,765.14 : x
  2. Step 2: Convert to fraction form
    9,124.46/12,593.71 = 5,765.14/x
  3. Step 3: Cross multiply
    9,124.46x = 12,593.71 × 5,765.14
  4. Step 4: Simplify right side
    9,124.46x = 72,604,501.27
  5. Step 5: Solve for x
    x = 72,604,501.27/9,124.46
  6. Step 6: Final answer
    x = 7,957.13

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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.