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Finding the Fourth Proportional to 6,787.96, 9,367.65 and 3,803.82

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Solution

The fourth proportional to 6,787.96, 9,367.65 and 3,803.82 is: 5,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.96 : 9,367.65 = 3,803.82 : x
  2. Step 2: Convert to fraction form
    6,787.96/9,367.65 = 3,803.82/x
  3. Step 3: Cross multiply
    6,787.96x = 9,367.65 × 3,803.82
  4. Step 4: Simplify right side
    6,787.96x = 35,632,854.42
  5. Step 5: Solve for x
    x = 35,632,854.42/6,787.96
  6. Step 6: Final answer
    x = 5,249.42

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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.