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Finding the Fourth Proportional to 9,739.92, 13,440.11 and 5,964.16

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Solution

The fourth proportional to 9,739.92, 13,440.11 and 5,964.16 is: 8,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.92 : 13,440.11 = 5,964.16 : x
  2. Step 2: Convert to fraction form
    9,739.92/13,440.11 = 5,964.16/x
  3. Step 3: Cross multiply
    9,739.92x = 13,440.11 × 5,964.16
  4. Step 4: Simplify right side
    9,739.92x = 80,158,949.15
  5. Step 5: Solve for x
    x = 80,158,949.15/9,739.92
  6. Step 6: Final answer
    x = 8,229.94

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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.