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Finding the Fourth Proportional to 9,147.62, 13,711.79 and 5,193.92

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Solution

The fourth proportional to 9,147.62, 13,711.79 and 5,193.92 is: 7,785.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.62 : 13,711.79 = 5,193.92 : x
  2. Step 2: Convert to fraction form
    9,147.62/13,711.79 = 5,193.92/x
  3. Step 3: Cross multiply
    9,147.62x = 13,711.79 × 5,193.92
  4. Step 4: Simplify right side
    9,147.62x = 71,217,884.74
  5. Step 5: Solve for x
    x = 71,217,884.74/9,147.62
  6. Step 6: Final answer
    x = 7,785.40

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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.