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Finding the Fourth Proportional to 6,194.35, 9,292.94 and 2,684.95

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Solution

The fourth proportional to 6,194.35, 9,292.94 and 2,684.95 is: 4,028.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.35 : 9,292.94 = 2,684.95 : x
  2. Step 2: Convert to fraction form
    6,194.35/9,292.94 = 2,684.95/x
  3. Step 3: Cross multiply
    6,194.35x = 9,292.94 × 2,684.95
  4. Step 4: Simplify right side
    6,194.35x = 24,951,062.73
  5. Step 5: Solve for x
    x = 24,951,062.73/6,194.35
  6. Step 6: Final answer
    x = 4,028.04

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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.