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Finding the Fourth Proportional to 9,198.36, 13,782.96 and 6,729.48

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Solution

The fourth proportional to 9,198.36, 13,782.96 and 6,729.48 is: 10,083.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.36 : 13,782.96 = 6,729.48 : x
  2. Step 2: Convert to fraction form
    9,198.36/13,782.96 = 6,729.48/x
  3. Step 3: Cross multiply
    9,198.36x = 13,782.96 × 6,729.48
  4. Step 4: Simplify right side
    9,198.36x = 92,752,153.66
  5. Step 5: Solve for x
    x = 92,752,153.66/9,198.36
  6. Step 6: Final answer
    x = 10,083.55

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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.