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Finding the Fourth Proportional to 6,135.36, 9,198 and 5,791.92

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Solution

The fourth proportional to 6,135.36, 9,198 and 5,791.92 is: 8,683.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.36 : 9,198 = 5,791.92 : x
  2. Step 2: Convert to fraction form
    6,135.36/9,198 = 5,791.92/x
  3. Step 3: Cross multiply
    6,135.36x = 9,198 × 5,791.92
  4. Step 4: Simplify right side
    6,135.36x = 53,274,080.16
  5. Step 5: Solve for x
    x = 53,274,080.16/6,135.36
  6. Step 6: Final answer
    x = 8,683.12

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Why These Related Problems?

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