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Finding the Fourth Proportional to 7,131.92, 9,844.34 and 4,147.20

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Solution

The fourth proportional to 7,131.92, 9,844.34 and 4,147.20 is: 5,724.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.92 : 9,844.34 = 4,147.20 : x
  2. Step 2: Convert to fraction form
    7,131.92/9,844.34 = 4,147.20/x
  3. Step 3: Cross multiply
    7,131.92x = 9,844.34 × 4,147.20
  4. Step 4: Simplify right side
    7,131.92x = 40,826,426.11
  5. Step 5: Solve for x
    x = 40,826,426.11/7,131.92
  6. Step 6: Final answer
    x = 5,724.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.