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Finding the Fourth Proportional to 6,194.25, 9,295.92 and 4,113.56

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Solution

The fourth proportional to 6,194.25, 9,295.92 and 4,113.56 is: 6,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.25 : 9,295.92 = 4,113.56 : x
  2. Step 2: Convert to fraction form
    6,194.25/9,295.92 = 4,113.56/x
  3. Step 3: Cross multiply
    6,194.25x = 9,295.92 × 4,113.56
  4. Step 4: Simplify right side
    6,194.25x = 38,239,324.68
  5. Step 5: Solve for x
    x = 38,239,324.68/6,194.25
  6. Step 6: Final answer
    x = 6,173.36

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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.