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Finding the Fourth Proportional to 9,306.80, 12,843.24 and 5,114.96

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Solution

The fourth proportional to 9,306.80, 12,843.24 and 5,114.96 is: 7,058.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.80 : 12,843.24 = 5,114.96 : x
  2. Step 2: Convert to fraction form
    9,306.80/12,843.24 = 5,114.96/x
  3. Step 3: Cross multiply
    9,306.80x = 12,843.24 × 5,114.96
  4. Step 4: Simplify right side
    9,306.80x = 65,692,633.30
  5. Step 5: Solve for x
    x = 65,692,633.30/9,306.80
  6. Step 6: Final answer
    x = 7,058.56

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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.