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Finding the Fourth Proportional to 9,171.12, 13,761.56 and 5,480.56

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Solution

The fourth proportional to 9,171.12, 13,761.56 and 5,480.56 is: 8,223.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.12 : 13,761.56 = 5,480.56 : x
  2. Step 2: Convert to fraction form
    9,171.12/13,761.56 = 5,480.56/x
  3. Step 3: Cross multiply
    9,171.12x = 13,761.56 × 5,480.56
  4. Step 4: Simplify right side
    9,171.12x = 75,421,055.27
  5. Step 5: Solve for x
    x = 75,421,055.27/9,171.12
  6. Step 6: Final answer
    x = 8,223.76

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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.