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Finding the Fourth Proportional to 6,704.47, 9,253.61 and 3,872.31

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Solution

The fourth proportional to 6,704.47, 9,253.61 and 3,872.31 is: 5,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,704.47 : 9,253.61 = 3,872.31 : x
  2. Step 2: Convert to fraction form
    6,704.47/9,253.61 = 3,872.31/x
  3. Step 3: Cross multiply
    6,704.47x = 9,253.61 × 3,872.31
  4. Step 4: Simplify right side
    6,704.47x = 35,832,807.00
  5. Step 5: Solve for x
    x = 35,832,807.00/6,704.47
  6. Step 6: Final answer
    x = 5,344.61

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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.