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Finding the Fourth Proportional to 6,067.43, 9,098.35 and 3,147.78

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Solution

The fourth proportional to 6,067.43, 9,098.35 and 3,147.78 is: 4,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,067.43 : 9,098.35 = 3,147.78 : x
  2. Step 2: Convert to fraction form
    6,067.43/9,098.35 = 3,147.78/x
  3. Step 3: Cross multiply
    6,067.43x = 9,098.35 × 3,147.78
  4. Step 4: Simplify right side
    6,067.43x = 28,639,588.42
  5. Step 5: Solve for x
    x = 28,639,588.42/6,067.43
  6. Step 6: Final answer
    x = 4,720.22

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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.