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Finding the Fourth Proportional to 9,121.12, 13,655.44 and 8,171.36

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Solution

The fourth proportional to 9,121.12, 13,655.44 and 8,171.36 is: 12,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.12 : 13,655.44 = 8,171.36 : x
  2. Step 2: Convert to fraction form
    9,121.12/13,655.44 = 8,171.36/x
  3. Step 3: Cross multiply
    9,121.12x = 13,655.44 × 8,171.36
  4. Step 4: Simplify right side
    9,121.12x = 111,583,516.20
  5. Step 5: Solve for x
    x = 111,583,516.20/9,121.12
  6. Step 6: Final answer
    x = 12,233.53

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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.