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Finding the Fourth Proportional to 9,192.16, 13,791.31 and 3,647.10

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Solution

The fourth proportional to 9,192.16, 13,791.31 and 3,647.10 is: 5,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.16 : 13,791.31 = 3,647.10 : x
  2. Step 2: Convert to fraction form
    9,192.16/13,791.31 = 3,647.10/x
  3. Step 3: Cross multiply
    9,192.16x = 13,791.31 × 3,647.10
  4. Step 4: Simplify right side
    9,192.16x = 50,298,286.70
  5. Step 5: Solve for x
    x = 50,298,286.70/9,192.16
  6. Step 6: Final answer
    x = 5,471.87

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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.