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Finding the Fourth Proportional to 9,738.43, 13,440.04 and 5,964.10

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Solution

The fourth proportional to 9,738.43, 13,440.04 and 5,964.10 is: 8,231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.43 : 13,440.04 = 5,964.10 : x
  2. Step 2: Convert to fraction form
    9,738.43/13,440.04 = 5,964.10/x
  3. Step 3: Cross multiply
    9,738.43x = 13,440.04 × 5,964.10
  4. Step 4: Simplify right side
    9,738.43x = 80,157,694.05
  5. Step 5: Solve for x
    x = 80,157,694.05/9,738.43
  6. Step 6: Final answer
    x = 8,231.07

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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.