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Finding the Fourth Proportional to 6,462.08, 9,691.68 and 2,565.44

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Solution

The fourth proportional to 6,462.08, 9,691.68 and 2,565.44 is: 3,847.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.08 : 9,691.68 = 2,565.44 : x
  2. Step 2: Convert to fraction form
    6,462.08/9,691.68 = 2,565.44/x
  3. Step 3: Cross multiply
    6,462.08x = 9,691.68 × 2,565.44
  4. Step 4: Simplify right side
    6,462.08x = 24,863,423.54
  5. Step 5: Solve for x
    x = 24,863,423.54/6,462.08
  6. Step 6: Final answer
    x = 3,847.59

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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.