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Finding the Fourth Proportional to 6,191.89, 9,292.44 and 3,855.30

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Solution

The fourth proportional to 6,191.89, 9,292.44 and 3,855.30 is: 5,785.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.89 : 9,292.44 = 3,855.30 : x
  2. Step 2: Convert to fraction form
    6,191.89/9,292.44 = 3,855.30/x
  3. Step 3: Cross multiply
    6,191.89x = 9,292.44 × 3,855.30
  4. Step 4: Simplify right side
    6,191.89x = 35,825,143.93
  5. Step 5: Solve for x
    x = 35,825,143.93/6,191.89
  6. Step 6: Final answer
    x = 5,785.82

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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.