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Finding the Fourth Proportional to 9,213.68, 13,816.92 and 4,016

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Solution

The fourth proportional to 9,213.68, 13,816.92 and 4,016 is: 6,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.68 : 13,816.92 = 4,016 : x
  2. Step 2: Convert to fraction form
    9,213.68/13,816.92 = 4,016/x
  3. Step 3: Cross multiply
    9,213.68x = 13,816.92 × 4,016
  4. Step 4: Simplify right side
    9,213.68x = 55,488,750.72
  5. Step 5: Solve for x
    x = 55,488,750.72/9,213.68
  6. Step 6: Final answer
    x = 6,022.43

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Why These Related Problems?

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