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Finding the Fourth Proportional to 9,267.31, 12,791.28 and 5,728.46

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Solution

The fourth proportional to 9,267.31, 12,791.28 and 5,728.46 is: 7,906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.31 : 12,791.28 = 5,728.46 : x
  2. Step 2: Convert to fraction form
    9,267.31/12,791.28 = 5,728.46/x
  3. Step 3: Cross multiply
    9,267.31x = 12,791.28 × 5,728.46
  4. Step 4: Simplify right side
    9,267.31x = 73,274,293.35
  5. Step 5: Solve for x
    x = 73,274,293.35/9,267.31
  6. Step 6: Final answer
    x = 7,906.75

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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.