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Finding the Fourth Proportional to 6,794.38, 9,376.04 and 4,140.82

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Solution

The fourth proportional to 6,794.38, 9,376.04 and 4,140.82 is: 5,714.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.38 : 9,376.04 = 4,140.82 : x
  2. Step 2: Convert to fraction form
    6,794.38/9,376.04 = 4,140.82/x
  3. Step 3: Cross multiply
    6,794.38x = 9,376.04 × 4,140.82
  4. Step 4: Simplify right side
    6,794.38x = 38,824,493.95
  5. Step 5: Solve for x
    x = 38,824,493.95/6,794.38
  6. Step 6: Final answer
    x = 5,714.21

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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.