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Finding the Fourth Proportional to 9,306.97, 12,843.39 and 5,273.47

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Solution

The fourth proportional to 9,306.97, 12,843.39 and 5,273.47 is: 7,277.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.97 : 12,843.39 = 5,273.47 : x
  2. Step 2: Convert to fraction form
    9,306.97/12,843.39 = 5,273.47/x
  3. Step 3: Cross multiply
    9,306.97x = 12,843.39 × 5,273.47
  4. Step 4: Simplify right side
    9,306.97x = 67,729,267.69
  5. Step 5: Solve for x
    x = 67,729,267.69/9,306.97
  6. Step 6: Final answer
    x = 7,277.26

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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.