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Finding the Fourth Proportional to 6,481.04, 9,722.50 and 3,194.33

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Solution

The fourth proportional to 6,481.04, 9,722.50 and 3,194.33 is: 4,791.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.04 : 9,722.50 = 3,194.33 : x
  2. Step 2: Convert to fraction form
    6,481.04/9,722.50 = 3,194.33/x
  3. Step 3: Cross multiply
    6,481.04x = 9,722.50 × 3,194.33
  4. Step 4: Simplify right side
    6,481.04x = 31,056,816.83
  5. Step 5: Solve for x
    x = 31,056,816.83/6,481.04
  6. Step 6: Final answer
    x = 4,791.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.