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Finding the Fourth Proportional to 12,791.97, 19,205.89 and 6,556.46

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Solution

The fourth proportional to 12,791.97, 19,205.89 and 6,556.46 is: 9,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.97 : 19,205.89 = 6,556.46 : x
  2. Step 2: Convert to fraction form
    12,791.97/19,205.89 = 6,556.46/x
  3. Step 3: Cross multiply
    12,791.97x = 19,205.89 × 6,556.46
  4. Step 4: Simplify right side
    12,791.97x = 125,922,537.13
  5. Step 5: Solve for x
    x = 125,922,537.13/12,791.97
  6. Step 6: Final answer
    x = 9,843.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.