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Finding the Fourth Proportional to 6,194.03, 9,286.18 and 4,240.31

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Solution

The fourth proportional to 6,194.03, 9,286.18 and 4,240.31 is: 6,357.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.03 : 9,286.18 = 4,240.31 : x
  2. Step 2: Convert to fraction form
    6,194.03/9,286.18 = 4,240.31/x
  3. Step 3: Cross multiply
    6,194.03x = 9,286.18 × 4,240.31
  4. Step 4: Simplify right side
    6,194.03x = 39,376,224.88
  5. Step 5: Solve for x
    x = 39,376,224.88/6,194.03
  6. Step 6: Final answer
    x = 6,357.13

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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.