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Finding the Fourth Proportional to 6,676, 9,213.42 and 3,882.04

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Solution

The fourth proportional to 6,676, 9,213.42 and 3,882.04 is: 5,357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,676 : 9,213.42 = 3,882.04 : x
  2. Step 2: Convert to fraction form
    6,676/9,213.42 = 3,882.04/x
  3. Step 3: Cross multiply
    6,676x = 9,213.42 × 3,882.04
  4. Step 4: Simplify right side
    6,676x = 35,766,864.98
  5. Step 5: Solve for x
    x = 35,766,864.98/6,676
  6. Step 6: Final answer
    x = 5,357.53

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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.