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Finding the Fourth Proportional to 6,344.50, 9,517.96 and 1,961.72

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Solution

The fourth proportional to 6,344.50, 9,517.96 and 1,961.72 is: 2,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.50 : 9,517.96 = 1,961.72 : x
  2. Step 2: Convert to fraction form
    6,344.50/9,517.96 = 1,961.72/x
  3. Step 3: Cross multiply
    6,344.50x = 9,517.96 × 1,961.72
  4. Step 4: Simplify right side
    6,344.50x = 18,671,572.49
  5. Step 5: Solve for x
    x = 18,671,572.49/6,344.50
  6. Step 6: Final answer
    x = 2,942.95

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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.