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Finding the Fourth Proportional to 6,816.81, 9,408.15 and 3,832.83

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Solution

The fourth proportional to 6,816.81, 9,408.15 and 3,832.83 is: 5,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.81 : 9,408.15 = 3,832.83 : x
  2. Step 2: Convert to fraction form
    6,816.81/9,408.15 = 3,832.83/x
  3. Step 3: Cross multiply
    6,816.81x = 9,408.15 × 3,832.83
  4. Step 4: Simplify right side
    6,816.81x = 36,059,839.56
  5. Step 5: Solve for x
    x = 36,059,839.56/6,816.81
  6. Step 6: Final answer
    x = 5,289.84

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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.