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Finding the Fourth Proportional to 9,273.80, 12,791.26 and 5,738.68

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Solution

The fourth proportional to 9,273.80, 12,791.26 and 5,738.68 is: 7,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,273.80 : 12,791.26 = 5,738.68 : x
  2. Step 2: Convert to fraction form
    9,273.80/12,791.26 = 5,738.68/x
  3. Step 3: Cross multiply
    9,273.80x = 12,791.26 × 5,738.68
  4. Step 4: Simplify right side
    9,273.80x = 73,404,947.94
  5. Step 5: Solve for x
    x = 73,404,947.94/9,273.80
  6. Step 6: Final answer
    x = 7,915.30

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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.