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Finding the Fourth Proportional to 9,306.68, 12,843.26 and 5,115.20

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Solution

The fourth proportional to 9,306.68, 12,843.26 and 5,115.20 is: 7,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.68 : 12,843.26 = 5,115.20 : x
  2. Step 2: Convert to fraction form
    9,306.68/12,843.26 = 5,115.20/x
  3. Step 3: Cross multiply
    9,306.68x = 12,843.26 × 5,115.20
  4. Step 4: Simplify right side
    9,306.68x = 65,695,843.55
  5. Step 5: Solve for x
    x = 65,695,843.55/9,306.68
  6. Step 6: Final answer
    x = 7,059.00

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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.