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Finding the Fourth Proportional to 6,787.92, 9,367.56 and 3,803.88

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Solution

The fourth proportional to 6,787.92, 9,367.56 and 3,803.88 is: 5,249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.92 : 9,367.56 = 3,803.88 : x
  2. Step 2: Convert to fraction form
    6,787.92/9,367.56 = 3,803.88/x
  3. Step 3: Cross multiply
    6,787.92x = 9,367.56 × 3,803.88
  4. Step 4: Simplify right side
    6,787.92x = 35,633,074.13
  5. Step 5: Solve for x
    x = 35,633,074.13/6,787.92
  6. Step 6: Final answer
    x = 5,249.48

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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.