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Finding the Fourth Proportional to 6,614.66, 9,127.42 and 3,781.76

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Solution

The fourth proportional to 6,614.66, 9,127.42 and 3,781.76 is: 5,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.66 : 9,127.42 = 3,781.76 : x
  2. Step 2: Convert to fraction form
    6,614.66/9,127.42 = 3,781.76/x
  3. Step 3: Cross multiply
    6,614.66x = 9,127.42 × 3,781.76
  4. Step 4: Simplify right side
    6,614.66x = 34,517,656.77
  5. Step 5: Solve for x
    x = 34,517,656.77/6,614.66
  6. Step 6: Final answer
    x = 5,218.35

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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.