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Finding the Fourth Proportional to 6,472.80, 9,704.40 and 4,387.60

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Solution

The fourth proportional to 6,472.80, 9,704.40 and 4,387.60 is: 6,578.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.80 : 9,704.40 = 4,387.60 : x
  2. Step 2: Convert to fraction form
    6,472.80/9,704.40 = 4,387.60/x
  3. Step 3: Cross multiply
    6,472.80x = 9,704.40 × 4,387.60
  4. Step 4: Simplify right side
    6,472.80x = 42,579,025.44
  5. Step 5: Solve for x
    x = 42,579,025.44/6,472.80
  6. Step 6: Final answer
    x = 6,578.15

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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.