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Finding the Fourth Proportional to 6,169.38, 9,257.12 and 2,882.70

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Solution

The fourth proportional to 6,169.38, 9,257.12 and 2,882.70 is: 4,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.38 : 9,257.12 = 2,882.70 : x
  2. Step 2: Convert to fraction form
    6,169.38/9,257.12 = 2,882.70/x
  3. Step 3: Cross multiply
    6,169.38x = 9,257.12 × 2,882.70
  4. Step 4: Simplify right side
    6,169.38x = 26,685,485.41
  5. Step 5: Solve for x
    x = 26,685,485.41/6,169.38
  6. Step 6: Final answer
    x = 4,325.47

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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.