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Finding the Fourth Proportional to 6,286.72, 9,426.84 and 4,096.48

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Solution

The fourth proportional to 6,286.72, 9,426.84 and 4,096.48 is: 6,142.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.72 : 9,426.84 = 4,096.48 : x
  2. Step 2: Convert to fraction form
    6,286.72/9,426.84 = 4,096.48/x
  3. Step 3: Cross multiply
    6,286.72x = 9,426.84 × 4,096.48
  4. Step 4: Simplify right side
    6,286.72x = 38,616,861.52
  5. Step 5: Solve for x
    x = 38,616,861.52/6,286.72
  6. Step 6: Final answer
    x = 6,142.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.