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Finding the Fourth Proportional to 6,822.38, 9,414.80 and 3,838.24

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Solution

The fourth proportional to 6,822.38, 9,414.80 and 3,838.24 is: 5,296.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,822.38 : 9,414.80 = 3,838.24 : x
  2. Step 2: Convert to fraction form
    6,822.38/9,414.80 = 3,838.24/x
  3. Step 3: Cross multiply
    6,822.38x = 9,414.80 × 3,838.24
  4. Step 4: Simplify right side
    6,822.38x = 36,136,219.22
  5. Step 5: Solve for x
    x = 36,136,219.22/6,822.38
  6. Step 6: Final answer
    x = 5,296.72

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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.