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Finding the Fourth Proportional to 6,861.72, 9,468.84 and 3,836.32

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Solution

The fourth proportional to 6,861.72, 9,468.84 and 3,836.32 is: 5,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.72 : 9,468.84 = 3,836.32 : x
  2. Step 2: Convert to fraction form
    6,861.72/9,468.84 = 3,836.32/x
  3. Step 3: Cross multiply
    6,861.72x = 9,468.84 × 3,836.32
  4. Step 4: Simplify right side
    6,861.72x = 36,325,500.27
  5. Step 5: Solve for x
    x = 36,325,500.27/6,861.72
  6. Step 6: Final answer
    x = 5,293.94

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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.