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Finding the Fourth Proportional to 9,251.44, 12,766.74 and 5,273.16

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Solution

The fourth proportional to 9,251.44, 12,766.74 and 5,273.16 is: 7,276.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.44 : 12,766.74 = 5,273.16 : x
  2. Step 2: Convert to fraction form
    9,251.44/12,766.74 = 5,273.16/x
  3. Step 3: Cross multiply
    9,251.44x = 12,766.74 × 5,273.16
  4. Step 4: Simplify right side
    9,251.44x = 67,321,062.70
  5. Step 5: Solve for x
    x = 67,321,062.70/9,251.44
  6. Step 6: Final answer
    x = 7,276.82

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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.