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Finding the Fourth Proportional to 9,242.44, 13,861.98 and 2,667

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Solution

The fourth proportional to 9,242.44, 13,861.98 and 2,667 is: 4,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.44 : 13,861.98 = 2,667 : x
  2. Step 2: Convert to fraction form
    9,242.44/13,861.98 = 2,667/x
  3. Step 3: Cross multiply
    9,242.44x = 13,861.98 × 2,667
  4. Step 4: Simplify right side
    9,242.44x = 36,969,900.66
  5. Step 5: Solve for x
    x = 36,969,900.66/9,242.44
  6. Step 6: Final answer
    x = 4,000.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.