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Finding the Fourth Proportional to 6,473.31, 9,711.78 and 2,578.02

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Solution

The fourth proportional to 6,473.31, 9,711.78 and 2,578.02 is: 3,867.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.31 : 9,711.78 = 2,578.02 : x
  2. Step 2: Convert to fraction form
    6,473.31/9,711.78 = 2,578.02/x
  3. Step 3: Cross multiply
    6,473.31x = 9,711.78 × 2,578.02
  4. Step 4: Simplify right side
    6,473.31x = 25,037,163.08
  5. Step 5: Solve for x
    x = 25,037,163.08/6,473.31
  6. Step 6: Final answer
    x = 3,867.75

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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.