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Finding the Fourth Proportional to 9,169.50, 12,648.15 and 7,310.94

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Solution

The fourth proportional to 9,169.50, 12,648.15 and 7,310.94 is: 10,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.50 : 12,648.15 = 7,310.94 : x
  2. Step 2: Convert to fraction form
    9,169.50/12,648.15 = 7,310.94/x
  3. Step 3: Cross multiply
    9,169.50x = 12,648.15 × 7,310.94
  4. Step 4: Simplify right side
    9,169.50x = 92,469,865.76
  5. Step 5: Solve for x
    x = 92,469,865.76/9,169.50
  6. Step 6: Final answer
    x = 10,084.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.