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Finding the Fourth Proportional to 6,743.75, 9,306.38 and 3,949.25

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Solution

The fourth proportional to 6,743.75, 9,306.38 and 3,949.25 is: 5,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.75 : 9,306.38 = 3,949.25 : x
  2. Step 2: Convert to fraction form
    6,743.75/9,306.38 = 3,949.25/x
  3. Step 3: Cross multiply
    6,743.75x = 9,306.38 × 3,949.25
  4. Step 4: Simplify right side
    6,743.75x = 36,753,201.47
  5. Step 5: Solve for x
    x = 36,753,201.47/6,743.75
  6. Step 6: Final answer
    x = 5,449.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.