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Finding the Fourth Proportional to 6,743.50, 9,306.04 and 3,949

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Solution

The fourth proportional to 6,743.50, 9,306.04 and 3,949 is: 5,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.50 : 9,306.04 = 3,949 : x
  2. Step 2: Convert to fraction form
    6,743.50/9,306.04 = 3,949/x
  3. Step 3: Cross multiply
    6,743.50x = 9,306.04 × 3,949
  4. Step 4: Simplify right side
    6,743.50x = 36,749,551.96
  5. Step 5: Solve for x
    x = 36,749,551.96/6,743.50
  6. Step 6: Final answer
    x = 5,449.63

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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.