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Finding the Fourth Proportional to 9,196.92, 12,691.70 and 5,005.16

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Solution

The fourth proportional to 9,196.92, 12,691.70 and 5,005.16 is: 6,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.92 : 12,691.70 = 5,005.16 : x
  2. Step 2: Convert to fraction form
    9,196.92/12,691.70 = 5,005.16/x
  3. Step 3: Cross multiply
    9,196.92x = 12,691.70 × 5,005.16
  4. Step 4: Simplify right side
    9,196.92x = 63,523,989.17
  5. Step 5: Solve for x
    x = 63,523,989.17/9,196.92
  6. Step 6: Final answer
    x = 6,907.09

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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.