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Finding the Fourth Proportional to 6,794.10, 9,376.68 and 3,809.37

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Solution

The fourth proportional to 6,794.10, 9,376.68 and 3,809.37 is: 5,257.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.10 : 9,376.68 = 3,809.37 : x
  2. Step 2: Convert to fraction form
    6,794.10/9,376.68 = 3,809.37/x
  3. Step 3: Cross multiply
    6,794.10x = 9,376.68 × 3,809.37
  4. Step 4: Simplify right side
    6,794.10x = 35,719,243.49
  5. Step 5: Solve for x
    x = 35,719,243.49/6,794.10
  6. Step 6: Final answer
    x = 5,257.39

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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.