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Finding the Fourth Proportional to 9,200.39, 13,801.41 and 2,960.96

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Solution

The fourth proportional to 9,200.39, 13,801.41 and 2,960.96 is: 4,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.39 : 13,801.41 = 2,960.96 : x
  2. Step 2: Convert to fraction form
    9,200.39/13,801.41 = 2,960.96/x
  3. Step 3: Cross multiply
    9,200.39x = 13,801.41 × 2,960.96
  4. Step 4: Simplify right side
    9,200.39x = 40,865,353.95
  5. Step 5: Solve for x
    x = 40,865,353.95/9,200.39
  6. Step 6: Final answer
    x = 4,441.70

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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.