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Finding the Fourth Proportional to 6,794.72, 9,377.34 and 3,963.01

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Solution

The fourth proportional to 6,794.72, 9,377.34 and 3,963.01 is: 5,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.72 : 9,377.34 = 3,963.01 : x
  2. Step 2: Convert to fraction form
    6,794.72/9,377.34 = 3,963.01/x
  3. Step 3: Cross multiply
    6,794.72x = 9,377.34 × 3,963.01
  4. Step 4: Simplify right side
    6,794.72x = 37,162,445.31
  5. Step 5: Solve for x
    x = 37,162,445.31/6,794.72
  6. Step 6: Final answer
    x = 5,469.32

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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.