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Finding the Fourth Proportional to 6,201.68, 9,286.38 and 4,873.85

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Solution

The fourth proportional to 6,201.68, 9,286.38 and 4,873.85 is: 7,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.68 : 9,286.38 = 4,873.85 : x
  2. Step 2: Convert to fraction form
    6,201.68/9,286.38 = 4,873.85/x
  3. Step 3: Cross multiply
    6,201.68x = 9,286.38 × 4,873.85
  4. Step 4: Simplify right side
    6,201.68x = 45,260,404.54
  5. Step 5: Solve for x
    x = 45,260,404.54/6,201.68
  6. Step 6: Final answer
    x = 7,298.08

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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.