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Finding the Fourth Proportional to 6,949.26, 9,614.90 and 6,067.62

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Solution

The fourth proportional to 6,949.26, 9,614.90 and 6,067.62 is: 8,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.26 : 9,614.90 = 6,067.62 : x
  2. Step 2: Convert to fraction form
    6,949.26/9,614.90 = 6,067.62/x
  3. Step 3: Cross multiply
    6,949.26x = 9,614.90 × 6,067.62
  4. Step 4: Simplify right side
    6,949.26x = 58,339,529.20
  5. Step 5: Solve for x
    x = 58,339,529.20/6,949.26
  6. Step 6: Final answer
    x = 8,395.07

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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.