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Finding the Fourth Proportional to 6,238.33, 9,358.57 and 2,542.57

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Solution

The fourth proportional to 6,238.33, 9,358.57 and 2,542.57 is: 3,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.33 : 9,358.57 = 2,542.57 : x
  2. Step 2: Convert to fraction form
    6,238.33/9,358.57 = 2,542.57/x
  3. Step 3: Cross multiply
    6,238.33x = 9,358.57 × 2,542.57
  4. Step 4: Simplify right side
    6,238.33x = 23,794,772.53
  5. Step 5: Solve for x
    x = 23,794,772.53/6,238.33
  6. Step 6: Final answer
    x = 3,814.29

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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.