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Finding the Fourth Proportional to 6,190.92, 9,286.38 and 1,808.46

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Solution

The fourth proportional to 6,190.92, 9,286.38 and 1,808.46 is: 2,712.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.92 : 9,286.38 = 1,808.46 : x
  2. Step 2: Convert to fraction form
    6,190.92/9,286.38 = 1,808.46/x
  3. Step 3: Cross multiply
    6,190.92x = 9,286.38 × 1,808.46
  4. Step 4: Simplify right side
    6,190.92x = 16,794,046.77
  5. Step 5: Solve for x
    x = 16,794,046.77/6,190.92
  6. Step 6: Final answer
    x = 2,712.69

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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.