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Finding the Fourth Proportional to 9,306.56, 12,843.84 and 5,115.68

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Solution

The fourth proportional to 9,306.56, 12,843.84 and 5,115.68 is: 7,060.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.56 : 12,843.84 = 5,115.68 : x
  2. Step 2: Convert to fraction form
    9,306.56/12,843.84 = 5,115.68/x
  3. Step 3: Cross multiply
    9,306.56x = 12,843.84 × 5,115.68
  4. Step 4: Simplify right side
    9,306.56x = 65,704,975.41
  5. Step 5: Solve for x
    x = 65,704,975.41/9,306.56
  6. Step 6: Final answer
    x = 7,060.07

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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.