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Finding the Fourth Proportional to 6,671.25, 9,205.96 and 3,686.91

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Solution

The fourth proportional to 6,671.25, 9,205.96 and 3,686.91 is: 5,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.25 : 9,205.96 = 3,686.91 : x
  2. Step 2: Convert to fraction form
    6,671.25/9,205.96 = 3,686.91/x
  3. Step 3: Cross multiply
    6,671.25x = 9,205.96 × 3,686.91
  4. Step 4: Simplify right side
    6,671.25x = 33,941,545.42
  5. Step 5: Solve for x
    x = 33,941,545.42/6,671.25
  6. Step 6: Final answer
    x = 5,087.73

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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.