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Finding the Fourth Proportional to 9,171.87, 13,759.59 and 3,906.80

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Solution

The fourth proportional to 9,171.87, 13,759.59 and 3,906.80 is: 5,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.87 : 13,759.59 = 3,906.80 : x
  2. Step 2: Convert to fraction form
    9,171.87/13,759.59 = 3,906.80/x
  3. Step 3: Cross multiply
    9,171.87x = 13,759.59 × 3,906.80
  4. Step 4: Simplify right side
    9,171.87x = 53,755,897.41
  5. Step 5: Solve for x
    x = 53,755,897.41/9,171.87
  6. Step 6: Final answer
    x = 5,860.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.