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Finding the Fourth Proportional to 7,229.20, 10,843.80 and 6,422.80

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Solution

The fourth proportional to 7,229.20, 10,843.80 and 6,422.80 is: 9,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.20 : 10,843.80 = 6,422.80 : x
  2. Step 2: Convert to fraction form
    7,229.20/10,843.80 = 6,422.80/x
  3. Step 3: Cross multiply
    7,229.20x = 10,843.80 × 6,422.80
  4. Step 4: Simplify right side
    7,229.20x = 69,647,558.64
  5. Step 5: Solve for x
    x = 69,647,558.64/7,229.20
  6. Step 6: Final answer
    x = 9,634.20

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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.