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Finding the Fourth Proportional to 9,967.38, 14,951.94 and 2,571.78

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Solution

The fourth proportional to 9,967.38, 14,951.94 and 2,571.78 is: 3,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.38 : 14,951.94 = 2,571.78 : x
  2. Step 2: Convert to fraction form
    9,967.38/14,951.94 = 2,571.78/x
  3. Step 3: Cross multiply
    9,967.38x = 14,951.94 × 2,571.78
  4. Step 4: Simplify right side
    9,967.38x = 38,453,100.25
  5. Step 5: Solve for x
    x = 38,453,100.25/9,967.38
  6. Step 6: Final answer
    x = 3,857.89

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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.