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Finding the Fourth Proportional to 6,414.72, 9,626.13 and 2,519.16

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Solution

The fourth proportional to 6,414.72, 9,626.13 and 2,519.16 is: 3,780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.72 : 9,626.13 = 2,519.16 : x
  2. Step 2: Convert to fraction form
    6,414.72/9,626.13 = 2,519.16/x
  3. Step 3: Cross multiply
    6,414.72x = 9,626.13 × 2,519.16
  4. Step 4: Simplify right side
    6,414.72x = 24,249,761.65
  5. Step 5: Solve for x
    x = 24,249,761.65/6,414.72
  6. Step 6: Final answer
    x = 3,780.33

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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.