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Finding the Fourth Proportional to 9,704.16, 13,387.68 and 5,976

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Solution

The fourth proportional to 9,704.16, 13,387.68 and 5,976 is: 8,244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.16 : 13,387.68 = 5,976 : x
  2. Step 2: Convert to fraction form
    9,704.16/13,387.68 = 5,976/x
  3. Step 3: Cross multiply
    9,704.16x = 13,387.68 × 5,976
  4. Step 4: Simplify right side
    9,704.16x = 80,004,775.68
  5. Step 5: Solve for x
    x = 80,004,775.68/9,704.16
  6. Step 6: Final answer
    x = 8,244.38

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Why These Related Problems?

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