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Finding the Fourth Proportional to 6,194.03, 9,291.67 and 2,033.06

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Solution

The fourth proportional to 6,194.03, 9,291.67 and 2,033.06 is: 3,049.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.03 : 9,291.67 = 2,033.06 : x
  2. Step 2: Convert to fraction form
    6,194.03/9,291.67 = 2,033.06/x
  3. Step 3: Cross multiply
    6,194.03x = 9,291.67 × 2,033.06
  4. Step 4: Simplify right side
    6,194.03x = 18,890,471.07
  5. Step 5: Solve for x
    x = 18,890,471.07/6,194.03
  6. Step 6: Final answer
    x = 3,049.79

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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.