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Finding the Fourth Proportional to 6,194.68, 9,290.31 and 2,034.25

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Solution

The fourth proportional to 6,194.68, 9,290.31 and 2,034.25 is: 3,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.68 : 9,290.31 = 2,034.25 : x
  2. Step 2: Convert to fraction form
    6,194.68/9,290.31 = 2,034.25/x
  3. Step 3: Cross multiply
    6,194.68x = 9,290.31 × 2,034.25
  4. Step 4: Simplify right side
    6,194.68x = 18,898,824.32
  5. Step 5: Solve for x
    x = 18,898,824.32/6,194.68
  6. Step 6: Final answer
    x = 3,050.82

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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.