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Finding the Fourth Proportional to 6,414.65, 9,609.42 and 5,718.05

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Solution

The fourth proportional to 6,414.65, 9,609.42 and 5,718.05 is: 8,565.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.65 : 9,609.42 = 5,718.05 : x
  2. Step 2: Convert to fraction form
    6,414.65/9,609.42 = 5,718.05/x
  3. Step 3: Cross multiply
    6,414.65x = 9,609.42 × 5,718.05
  4. Step 4: Simplify right side
    6,414.65x = 54,947,144.03
  5. Step 5: Solve for x
    x = 54,947,144.03/6,414.65
  6. Step 6: Final answer
    x = 8,565.88

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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.