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Finding the Fourth Proportional to 6,367.24, 9,542.13 and 4,805.92

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Solution

The fourth proportional to 6,367.24, 9,542.13 and 4,805.92 is: 7,202.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.24 : 9,542.13 = 4,805.92 : x
  2. Step 2: Convert to fraction form
    6,367.24/9,542.13 = 4,805.92/x
  3. Step 3: Cross multiply
    6,367.24x = 9,542.13 × 4,805.92
  4. Step 4: Simplify right side
    6,367.24x = 45,858,713.41
  5. Step 5: Solve for x
    x = 45,858,713.41/6,367.24
  6. Step 6: Final answer
    x = 7,202.29

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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.