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Finding the Fourth Proportional to 9,238.20, 13,853.71 and 2,996.71

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Solution

The fourth proportional to 9,238.20, 13,853.71 and 2,996.71 is: 4,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.20 : 13,853.71 = 2,996.71 : x
  2. Step 2: Convert to fraction form
    9,238.20/13,853.71 = 2,996.71/x
  3. Step 3: Cross multiply
    9,238.20x = 13,853.71 × 2,996.71
  4. Step 4: Simplify right side
    9,238.20x = 41,515,551.29
  5. Step 5: Solve for x
    x = 41,515,551.29/9,238.20
  6. Step 6: Final answer
    x = 4,493.90

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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.