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Finding the Fourth Proportional to 6,201.38, 9,293.84 and 4,550.20

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Solution

The fourth proportional to 6,201.38, 9,293.84 and 4,550.20 is: 6,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.38 : 9,293.84 = 4,550.20 : x
  2. Step 2: Convert to fraction form
    6,201.38/9,293.84 = 4,550.20/x
  3. Step 3: Cross multiply
    6,201.38x = 9,293.84 × 4,550.20
  4. Step 4: Simplify right side
    6,201.38x = 42,288,830.77
  5. Step 5: Solve for x
    x = 42,288,830.77/6,201.38
  6. Step 6: Final answer
    x = 6,819.26

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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.