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Finding the Fourth Proportional to 6,814.78, 9,404.09 and 3,982.41

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Solution

The fourth proportional to 6,814.78, 9,404.09 and 3,982.41 is: 5,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.78 : 9,404.09 = 3,982.41 : x
  2. Step 2: Convert to fraction form
    6,814.78/9,404.09 = 3,982.41/x
  3. Step 3: Cross multiply
    6,814.78x = 9,404.09 × 3,982.41
  4. Step 4: Simplify right side
    6,814.78x = 37,450,942.06
  5. Step 5: Solve for x
    x = 37,450,942.06/6,814.78
  6. Step 6: Final answer
    x = 5,495.55

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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.