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Finding the Fourth Proportional to 9,031.20, 13,546.80 and 8,224.80

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Solution

The fourth proportional to 9,031.20, 13,546.80 and 8,224.80 is: 12,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.20 : 13,546.80 = 8,224.80 : x
  2. Step 2: Convert to fraction form
    9,031.20/13,546.80 = 8,224.80/x
  3. Step 3: Cross multiply
    9,031.20x = 13,546.80 × 8,224.80
  4. Step 4: Simplify right side
    9,031.20x = 111,419,720.64
  5. Step 5: Solve for x
    x = 111,419,720.64/9,031.20
  6. Step 6: Final answer
    x = 12,337.20

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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.