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Finding the Fourth Proportional to 6,508.62, 9,767.52 and 2,614.14

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Solution

The fourth proportional to 6,508.62, 9,767.52 and 2,614.14 is: 3,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.62 : 9,767.52 = 2,614.14 : x
  2. Step 2: Convert to fraction form
    6,508.62/9,767.52 = 2,614.14/x
  3. Step 3: Cross multiply
    6,508.62x = 9,767.52 × 2,614.14
  4. Step 4: Simplify right side
    6,508.62x = 25,533,664.73
  5. Step 5: Solve for x
    x = 25,533,664.73/6,508.62
  6. Step 6: Final answer
    x = 3,923.05

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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.