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Finding the Fourth Proportional to 6,744, 9,306.84 and 3,949.44

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Solution

The fourth proportional to 6,744, 9,306.84 and 3,949.44 is: 5,450.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744 : 9,306.84 = 3,949.44 : x
  2. Step 2: Convert to fraction form
    6,744/9,306.84 = 3,949.44/x
  3. Step 3: Cross multiply
    6,744x = 9,306.84 × 3,949.44
  4. Step 4: Simplify right side
    6,744x = 36,756,806.17
  5. Step 5: Solve for x
    x = 36,756,806.17/6,744
  6. Step 6: Final answer
    x = 5,450.30

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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.