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Finding the Fourth Proportional to 6,194.35, 9,286.89 and 3,728.59

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Solution

The fourth proportional to 6,194.35, 9,286.89 and 3,728.59 is: 5,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.35 : 9,286.89 = 3,728.59 : x
  2. Step 2: Convert to fraction form
    6,194.35/9,286.89 = 3,728.59/x
  3. Step 3: Cross multiply
    6,194.35x = 9,286.89 × 3,728.59
  4. Step 4: Simplify right side
    6,194.35x = 34,627,005.19
  5. Step 5: Solve for x
    x = 34,627,005.19/6,194.35
  6. Step 6: Final answer
    x = 5,590.10

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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.