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Finding the Fourth Proportional to 9,381.57, 12,946.35 and 5,132.61

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Solution

The fourth proportional to 9,381.57, 12,946.35 and 5,132.61 is: 7,082.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.57 : 12,946.35 = 5,132.61 : x
  2. Step 2: Convert to fraction form
    9,381.57/12,946.35 = 5,132.61/x
  3. Step 3: Cross multiply
    9,381.57x = 12,946.35 × 5,132.61
  4. Step 4: Simplify right side
    9,381.57x = 66,448,565.47
  5. Step 5: Solve for x
    x = 66,448,565.47/9,381.57
  6. Step 6: Final answer
    x = 7,082.88

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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.