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Finding the Fourth Proportional to 6,891.71, 9,510.61 and 3,747.89

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Solution

The fourth proportional to 6,891.71, 9,510.61 and 3,747.89 is: 5,172.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.71 : 9,510.61 = 3,747.89 : x
  2. Step 2: Convert to fraction form
    6,891.71/9,510.61 = 3,747.89/x
  3. Step 3: Cross multiply
    6,891.71x = 9,510.61 × 3,747.89
  4. Step 4: Simplify right side
    6,891.71x = 35,644,720.11
  5. Step 5: Solve for x
    x = 35,644,720.11/6,891.71
  6. Step 6: Final answer
    x = 5,172.12

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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.