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Finding the Fourth Proportional to 6,462.98, 9,694.97 and 2,080.57

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Solution

The fourth proportional to 6,462.98, 9,694.97 and 2,080.57 is: 3,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.98 : 9,694.97 = 2,080.57 : x
  2. Step 2: Convert to fraction form
    6,462.98/9,694.97 = 2,080.57/x
  3. Step 3: Cross multiply
    6,462.98x = 9,694.97 × 2,080.57
  4. Step 4: Simplify right side
    6,462.98x = 20,171,063.73
  5. Step 5: Solve for x
    x = 20,171,063.73/6,462.98
  6. Step 6: Final answer
    x = 3,121.02

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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.