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Finding the Fourth Proportional to 6,194.43, 9,283.55 and 5,369.31

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Solution

The fourth proportional to 6,194.43, 9,283.55 and 5,369.31 is: 8,046.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.43 : 9,283.55 = 5,369.31 : x
  2. Step 2: Convert to fraction form
    6,194.43/9,283.55 = 5,369.31/x
  3. Step 3: Cross multiply
    6,194.43x = 9,283.55 × 5,369.31
  4. Step 4: Simplify right side
    6,194.43x = 49,846,231.00
  5. Step 5: Solve for x
    x = 49,846,231.00/6,194.43
  6. Step 6: Final answer
    x = 8,046.94

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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.