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Finding the Fourth Proportional to 6,826.38, 9,418.32 and 4,170.96

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Solution

The fourth proportional to 6,826.38, 9,418.32 and 4,170.96 is: 5,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.38 : 9,418.32 = 4,170.96 : x
  2. Step 2: Convert to fraction form
    6,826.38/9,418.32 = 4,170.96/x
  3. Step 3: Cross multiply
    6,826.38x = 9,418.32 × 4,170.96
  4. Step 4: Simplify right side
    6,826.38x = 39,283,435.99
  5. Step 5: Solve for x
    x = 39,283,435.99/6,826.38
  6. Step 6: Final answer
    x = 5,754.65

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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.