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Finding the Fourth Proportional to 9,306.76, 12,843.32 and 5,115.28

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Solution

The fourth proportional to 9,306.76, 12,843.32 and 5,115.28 is: 7,059.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.76 : 12,843.32 = 5,115.28 : x
  2. Step 2: Convert to fraction form
    9,306.76/12,843.32 = 5,115.28/x
  3. Step 3: Cross multiply
    9,306.76x = 12,843.32 × 5,115.28
  4. Step 4: Simplify right side
    9,306.76x = 65,697,177.93
  5. Step 5: Solve for x
    x = 65,697,177.93/9,306.76
  6. Step 6: Final answer
    x = 7,059.08

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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.