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Finding the Fourth Proportional to 9,306.78, 12,843.48 and 5,327.79

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Solution

The fourth proportional to 9,306.78, 12,843.48 and 5,327.79 is: 7,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.78 : 12,843.48 = 5,327.79 : x
  2. Step 2: Convert to fraction form
    9,306.78/12,843.48 = 5,327.79/x
  3. Step 3: Cross multiply
    9,306.78x = 12,843.48 × 5,327.79
  4. Step 4: Simplify right side
    9,306.78x = 68,427,364.31
  5. Step 5: Solve for x
    x = 68,427,364.31/9,306.78
  6. Step 6: Final answer
    x = 7,352.42

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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.