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Finding the Fourth Proportional to 9,209.80, 12,709.56 and 5,121.44

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Solution

The fourth proportional to 9,209.80, 12,709.56 and 5,121.44 is: 7,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.80 : 12,709.56 = 5,121.44 : x
  2. Step 2: Convert to fraction form
    9,209.80/12,709.56 = 5,121.44/x
  3. Step 3: Cross multiply
    9,209.80x = 12,709.56 × 5,121.44
  4. Step 4: Simplify right side
    9,209.80x = 65,091,248.97
  5. Step 5: Solve for x
    x = 65,091,248.97/9,209.80
  6. Step 6: Final answer
    x = 7,067.61

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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.