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Finding the Fourth Proportional to 6,473.30, 9,711.22 and 2,578.10

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Solution

The fourth proportional to 6,473.30, 9,711.22 and 2,578.10 is: 3,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.30 : 9,711.22 = 2,578.10 : x
  2. Step 2: Convert to fraction form
    6,473.30/9,711.22 = 2,578.10/x
  3. Step 3: Cross multiply
    6,473.30x = 9,711.22 × 2,578.10
  4. Step 4: Simplify right side
    6,473.30x = 25,036,496.28
  5. Step 5: Solve for x
    x = 25,036,496.28/6,473.30
  6. Step 6: Final answer
    x = 3,867.66

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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.