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Finding the Fourth Proportional to 6,331.62, 9,497.56 and 1,949.10

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Solution

The fourth proportional to 6,331.62, 9,497.56 and 1,949.10 is: 2,923.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.62 : 9,497.56 = 1,949.10 : x
  2. Step 2: Convert to fraction form
    6,331.62/9,497.56 = 1,949.10/x
  3. Step 3: Cross multiply
    6,331.62x = 9,497.56 × 1,949.10
  4. Step 4: Simplify right side
    6,331.62x = 18,511,694.20
  5. Step 5: Solve for x
    x = 18,511,694.20/6,331.62
  6. Step 6: Final answer
    x = 2,923.69

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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.