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Finding the Fourth Proportional to 6,675.82, 9,212.54 and 3,691.71

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Solution

The fourth proportional to 6,675.82, 9,212.54 and 3,691.71 is: 5,094.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.82 : 9,212.54 = 3,691.71 : x
  2. Step 2: Convert to fraction form
    6,675.82/9,212.54 = 3,691.71/x
  3. Step 3: Cross multiply
    6,675.82x = 9,212.54 × 3,691.71
  4. Step 4: Simplify right side
    6,675.82x = 34,010,035.27
  5. Step 5: Solve for x
    x = 34,010,035.27/6,675.82
  6. Step 6: Final answer
    x = 5,094.51

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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.