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Finding the Fourth Proportional to 6,675.75, 9,212.18 and 3,691.43

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Solution

The fourth proportional to 6,675.75, 9,212.18 and 3,691.43 is: 5,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.75 : 9,212.18 = 3,691.43 : x
  2. Step 2: Convert to fraction form
    6,675.75/9,212.18 = 3,691.43/x
  3. Step 3: Cross multiply
    6,675.75x = 9,212.18 × 3,691.43
  4. Step 4: Simplify right side
    6,675.75x = 34,006,053.10
  5. Step 5: Solve for x
    x = 34,006,053.10/6,675.75
  6. Step 6: Final answer
    x = 5,093.97

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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.