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Finding the Fourth Proportional to 6,675.87, 9,212.77 and 3,691.91

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Solution

The fourth proportional to 6,675.87, 9,212.77 and 3,691.91 is: 5,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,675.87 : 9,212.77 = 3,691.91 : x
  2. Step 2: Convert to fraction form
    6,675.87/9,212.77 = 3,691.91/x
  3. Step 3: Cross multiply
    6,675.87x = 9,212.77 × 3,691.91
  4. Step 4: Simplify right side
    6,675.87x = 34,012,676.20
  5. Step 5: Solve for x
    x = 34,012,676.20/6,675.87
  6. Step 6: Final answer
    x = 5,094.87

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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.