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Finding the Fourth Proportional to 9,197.92, 12,693.12 and 5,006.16

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Solution

The fourth proportional to 9,197.92, 12,693.12 and 5,006.16 is: 6,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.92 : 12,693.12 = 5,006.16 : x
  2. Step 2: Convert to fraction form
    9,197.92/12,693.12 = 5,006.16/x
  3. Step 3: Cross multiply
    9,197.92x = 12,693.12 × 5,006.16
  4. Step 4: Simplify right side
    9,197.92x = 63,543,789.62
  5. Step 5: Solve for x
    x = 63,543,789.62/9,197.92
  6. Step 6: Final answer
    x = 6,908.50

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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.