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Finding the Fourth Proportional to 6,282.72, 9,423.84 and 3,818.16

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Solution

The fourth proportional to 6,282.72, 9,423.84 and 3,818.16 is: 5,727.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.72 : 9,423.84 = 3,818.16 : x
  2. Step 2: Convert to fraction form
    6,282.72/9,423.84 = 3,818.16/x
  3. Step 3: Cross multiply
    6,282.72x = 9,423.84 × 3,818.16
  4. Step 4: Simplify right side
    6,282.72x = 35,981,728.93
  5. Step 5: Solve for x
    x = 35,981,728.93/6,282.72
  6. Step 6: Final answer
    x = 5,727.09

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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.