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Finding the Fourth Proportional to 6,704.90, 9,251.38 and 3,872.23

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Solution

The fourth proportional to 6,704.90, 9,251.38 and 3,872.23 is: 5,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.90 : 9,251.38 = 3,872.23 : x
  2. Step 2: Convert to fraction form
    6,704.90/9,251.38 = 3,872.23/x
  3. Step 3: Cross multiply
    6,704.90x = 9,251.38 × 3,872.23
  4. Step 4: Simplify right side
    6,704.90x = 35,823,471.18
  5. Step 5: Solve for x
    x = 35,823,471.18/6,704.90
  6. Step 6: Final answer
    x = 5,342.88

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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.