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Finding the Fourth Proportional to 6,832.68, 9,428.58 and 3,847.92

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Solution

The fourth proportional to 6,832.68, 9,428.58 and 3,847.92 is: 5,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.68 : 9,428.58 = 3,847.92 : x
  2. Step 2: Convert to fraction form
    6,832.68/9,428.58 = 3,847.92/x
  3. Step 3: Cross multiply
    6,832.68x = 9,428.58 × 3,847.92
  4. Step 4: Simplify right side
    6,832.68x = 36,280,421.55
  5. Step 5: Solve for x
    x = 36,280,421.55/6,832.68
  6. Step 6: Final answer
    x = 5,309.84

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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.