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Finding the Fourth Proportional to 6,177.39, 9,268.47 and 3,713.97

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Solution

The fourth proportional to 6,177.39, 9,268.47 and 3,713.97 is: 5,572.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.39 : 9,268.47 = 3,713.97 : x
  2. Step 2: Convert to fraction form
    6,177.39/9,268.47 = 3,713.97/x
  3. Step 3: Cross multiply
    6,177.39x = 9,268.47 × 3,713.97
  4. Step 4: Simplify right side
    6,177.39x = 34,422,819.53
  5. Step 5: Solve for x
    x = 34,422,819.53/6,177.39
  6. Step 6: Final answer
    x = 5,572.39

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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.