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Finding the Fourth Proportional to 6,550.44, 9,034.77 and 4,161.21

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Solution

The fourth proportional to 6,550.44, 9,034.77 and 4,161.21 is: 5,739.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550.44 : 9,034.77 = 4,161.21 : x
  2. Step 2: Convert to fraction form
    6,550.44/9,034.77 = 4,161.21/x
  3. Step 3: Cross multiply
    6,550.44x = 9,034.77 × 4,161.21
  4. Step 4: Simplify right side
    6,550.44x = 37,595,575.27
  5. Step 5: Solve for x
    x = 37,595,575.27/6,550.44
  6. Step 6: Final answer
    x = 5,739.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.