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Finding the Fourth Proportional to 6,691.69, 9,233.79 and 3,706.78

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Solution

The fourth proportional to 6,691.69, 9,233.79 and 3,706.78 is: 5,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.69 : 9,233.79 = 3,706.78 : x
  2. Step 2: Convert to fraction form
    6,691.69/9,233.79 = 3,706.78/x
  3. Step 3: Cross multiply
    6,691.69x = 9,233.79 × 3,706.78
  4. Step 4: Simplify right side
    6,691.69x = 34,227,628.10
  5. Step 5: Solve for x
    x = 34,227,628.10/6,691.69
  6. Step 6: Final answer
    x = 5,114.95

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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.