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Finding the Fourth Proportional to 36,244.46, 54,364.26 and 9,947

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Solution

The fourth proportional to 36,244.46, 54,364.26 and 9,947 is: 14,919.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,244.46 : 54,364.26 = 9,947 : x
  2. Step 2: Convert to fraction form
    36,244.46/54,364.26 = 9,947/x
  3. Step 3: Cross multiply
    36,244.46x = 54,364.26 × 9,947
  4. Step 4: Simplify right side
    36,244.46x = 540,761,294.22
  5. Step 5: Solve for x
    x = 540,761,294.22/36,244.46
  6. Step 6: Final answer
    x = 14,919.83

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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.