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Finding the Fourth Proportional to 6,832.50, 9,428.21 and 3,847.84

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Solution

The fourth proportional to 6,832.50, 9,428.21 and 3,847.84 is: 5,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.50 : 9,428.21 = 3,847.84 : x
  2. Step 2: Convert to fraction form
    6,832.50/9,428.21 = 3,847.84/x
  3. Step 3: Cross multiply
    6,832.50x = 9,428.21 × 3,847.84
  4. Step 4: Simplify right side
    6,832.50x = 36,278,243.57
  5. Step 5: Solve for x
    x = 36,278,243.57/6,832.50
  6. Step 6: Final answer
    x = 5,309.66

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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.