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Finding the Fourth Proportional to 6,938.78, 9,575.36 and 3,794.90

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Solution

The fourth proportional to 6,938.78, 9,575.36 and 3,794.90 is: 5,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.78 : 9,575.36 = 3,794.90 : x
  2. Step 2: Convert to fraction form
    6,938.78/9,575.36 = 3,794.90/x
  3. Step 3: Cross multiply
    6,938.78x = 9,575.36 × 3,794.90
  4. Step 4: Simplify right side
    6,938.78x = 36,337,533.66
  5. Step 5: Solve for x
    x = 36,337,533.66/6,938.78
  6. Step 6: Final answer
    x = 5,236.88

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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.