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Finding the Fourth Proportional to 6,517.68, 8,992.87 and 4,397.14

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Solution

The fourth proportional to 6,517.68, 8,992.87 and 4,397.14 is: 6,067.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.68 : 8,992.87 = 4,397.14 : x
  2. Step 2: Convert to fraction form
    6,517.68/8,992.87 = 4,397.14/x
  3. Step 3: Cross multiply
    6,517.68x = 8,992.87 × 4,397.14
  4. Step 4: Simplify right side
    6,517.68x = 39,542,882.79
  5. Step 5: Solve for x
    x = 39,542,882.79/6,517.68
  6. Step 6: Final answer
    x = 6,067.02

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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.