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Finding the Fourth Proportional to 9,171.90, 13,759.58 and 4,174.66

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Solution

The fourth proportional to 9,171.90, 13,759.58 and 4,174.66 is: 6,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.90 : 13,759.58 = 4,174.66 : x
  2. Step 2: Convert to fraction form
    9,171.90/13,759.58 = 4,174.66/x
  3. Step 3: Cross multiply
    9,171.90x = 13,759.58 × 4,174.66
  4. Step 4: Simplify right side
    9,171.90x = 57,441,568.24
  5. Step 5: Solve for x
    x = 57,441,568.24/9,171.90
  6. Step 6: Final answer
    x = 6,262.78

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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.