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Finding the Fourth Proportional to 6,832.38, 9,429.39 and 4,181.55

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Solution

The fourth proportional to 6,832.38, 9,429.39 and 4,181.55 is: 5,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.38 : 9,429.39 = 4,181.55 : x
  2. Step 2: Convert to fraction form
    6,832.38/9,429.39 = 4,181.55/x
  3. Step 3: Cross multiply
    6,832.38x = 9,429.39 × 4,181.55
  4. Step 4: Simplify right side
    6,832.38x = 39,429,465.75
  5. Step 5: Solve for x
    x = 39,429,465.75/6,832.38
  6. Step 6: Final answer
    x = 5,770.97

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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.