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Finding the Fourth Proportional to 6,891.78, 9,510.62 and 3,747.96

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Solution

The fourth proportional to 6,891.78, 9,510.62 and 3,747.96 is: 5,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.78 : 9,510.62 = 3,747.96 : x
  2. Step 2: Convert to fraction form
    6,891.78/9,510.62 = 3,747.96/x
  3. Step 3: Cross multiply
    6,891.78x = 9,510.62 × 3,747.96
  4. Step 4: Simplify right side
    6,891.78x = 35,645,423.34
  5. Step 5: Solve for x
    x = 35,645,423.34/6,891.78
  6. Step 6: Final answer
    x = 5,172.17

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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.