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Finding the Fourth Proportional to 6,794.04, 9,375.75 and 3,809.87

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Solution

The fourth proportional to 6,794.04, 9,375.75 and 3,809.87 is: 5,257.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.04 : 9,375.75 = 3,809.87 : x
  2. Step 2: Convert to fraction form
    6,794.04/9,375.75 = 3,809.87/x
  3. Step 3: Cross multiply
    6,794.04x = 9,375.75 × 3,809.87
  4. Step 4: Simplify right side
    6,794.04x = 35,720,376.93
  5. Step 5: Solve for x
    x = 35,720,376.93/6,794.04
  6. Step 6: Final answer
    x = 5,257.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.