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Finding the Fourth Proportional to 7,930.44, 11,843.59 and 6,372.82

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Solution

The fourth proportional to 7,930.44, 11,843.59 and 6,372.82 is: 9,517.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.44 : 11,843.59 = 6,372.82 : x
  2. Step 2: Convert to fraction form
    7,930.44/11,843.59 = 6,372.82/x
  3. Step 3: Cross multiply
    7,930.44x = 11,843.59 × 6,372.82
  4. Step 4: Simplify right side
    7,930.44x = 75,477,067.22
  5. Step 5: Solve for x
    x = 75,477,067.22/7,930.44
  6. Step 6: Final answer
    x = 9,517.39

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.