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Finding the Fourth Proportional to 9,240.80, 13,861.28 and 2,667

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Solution

The fourth proportional to 9,240.80, 13,861.28 and 2,667 is: 4,000.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.80 : 13,861.28 = 2,667 : x
  2. Step 2: Convert to fraction form
    9,240.80/13,861.28 = 2,667/x
  3. Step 3: Cross multiply
    9,240.80x = 13,861.28 × 2,667
  4. Step 4: Simplify right side
    9,240.80x = 36,968,033.76
  5. Step 5: Solve for x
    x = 36,968,033.76/9,240.80
  6. Step 6: Final answer
    x = 4,000.52

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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.