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Finding the Fourth Proportional to 6,132.66, 8,462.99 and 3,614.88

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Solution

The fourth proportional to 6,132.66, 8,462.99 and 3,614.88 is: 4,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,132.66 : 8,462.99 = 3,614.88 : x
  2. Step 2: Convert to fraction form
    6,132.66/8,462.99 = 3,614.88/x
  3. Step 3: Cross multiply
    6,132.66x = 8,462.99 × 3,614.88
  4. Step 4: Simplify right side
    6,132.66x = 30,592,693.29
  5. Step 5: Solve for x
    x = 30,592,693.29/6,132.66
  6. Step 6: Final answer
    x = 4,988.49

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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.