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Finding the Fourth Proportional to 6,201.38, 9,298.47 and 2,500.58

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Solution

The fourth proportional to 6,201.38, 9,298.47 and 2,500.58 is: 3,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.38 : 9,298.47 = 2,500.58 : x
  2. Step 2: Convert to fraction form
    6,201.38/9,298.47 = 2,500.58/x
  3. Step 3: Cross multiply
    6,201.38x = 9,298.47 × 2,500.58
  4. Step 4: Simplify right side
    6,201.38x = 23,251,568.11
  5. Step 5: Solve for x
    x = 23,251,568.11/6,201.38
  6. Step 6: Final answer
    x = 3,749.42

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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.