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Finding the Fourth Proportional to 6,794.60, 9,376.92 and 3,811.38

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Solution

The fourth proportional to 6,794.60, 9,376.92 and 3,811.38 is: 5,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.60 : 9,376.92 = 3,811.38 : x
  2. Step 2: Convert to fraction form
    6,794.60/9,376.92 = 3,811.38/x
  3. Step 3: Cross multiply
    6,794.60x = 9,376.92 × 3,811.38
  4. Step 4: Simplify right side
    6,794.60x = 35,739,005.35
  5. Step 5: Solve for x
    x = 35,739,005.35/6,794.60
  6. Step 6: Final answer
    x = 5,259.91

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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.