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Finding the Fourth Proportional to 9,200.29, 13,800.12 and 2,960.73

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Solution

The fourth proportional to 9,200.29, 13,800.12 and 2,960.73 is: 4,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.29 : 13,800.12 = 2,960.73 : x
  2. Step 2: Convert to fraction form
    9,200.29/13,800.12 = 2,960.73/x
  3. Step 3: Cross multiply
    9,200.29x = 13,800.12 × 2,960.73
  4. Step 4: Simplify right side
    9,200.29x = 40,858,429.29
  5. Step 5: Solve for x
    x = 40,858,429.29/9,200.29
  6. Step 6: Final answer
    x = 4,440.99

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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.