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Finding the Fourth Proportional to 6,704.29, 9,251.58 and 3,872.13

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Solution

The fourth proportional to 6,704.29, 9,251.58 and 3,872.13 is: 5,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.29 : 9,251.58 = 3,872.13 : x
  2. Step 2: Convert to fraction form
    6,704.29/9,251.58 = 3,872.13/x
  3. Step 3: Cross multiply
    6,704.29x = 9,251.58 × 3,872.13
  4. Step 4: Simplify right side
    6,704.29x = 35,823,320.47
  5. Step 5: Solve for x
    x = 35,823,320.47/6,704.29
  6. Step 6: Final answer
    x = 5,343.34

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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.