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Finding the Fourth Proportional to 6,778.34, 9,354.16 and 3,794.45

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Solution

The fourth proportional to 6,778.34, 9,354.16 and 3,794.45 is: 5,236.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.34 : 9,354.16 = 3,794.45 : x
  2. Step 2: Convert to fraction form
    6,778.34/9,354.16 = 3,794.45/x
  3. Step 3: Cross multiply
    6,778.34x = 9,354.16 × 3,794.45
  4. Step 4: Simplify right side
    6,778.34x = 35,493,892.41
  5. Step 5: Solve for x
    x = 35,493,892.41/6,778.34
  6. Step 6: Final answer
    x = 5,236.37

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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.