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Finding the Fourth Proportional to 9,600.10, 13,247.92 and 5,351.16

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Solution

The fourth proportional to 9,600.10, 13,247.92 and 5,351.16 is: 7,384.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.10 : 13,247.92 = 5,351.16 : x
  2. Step 2: Convert to fraction form
    9,600.10/13,247.92 = 5,351.16/x
  3. Step 3: Cross multiply
    9,600.10x = 13,247.92 × 5,351.16
  4. Step 4: Simplify right side
    9,600.10x = 70,891,739.59
  5. Step 5: Solve for x
    x = 70,891,739.59/9,600.10
  6. Step 6: Final answer
    x = 7,384.48

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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.