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Finding the Fourth Proportional to 9,238.56, 13,836.16 and 8,016

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Solution

The fourth proportional to 9,238.56, 13,836.16 and 8,016 is: 12,005.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.56 : 13,836.16 = 8,016 : x
  2. Step 2: Convert to fraction form
    9,238.56/13,836.16 = 8,016/x
  3. Step 3: Cross multiply
    9,238.56x = 13,836.16 × 8,016
  4. Step 4: Simplify right side
    9,238.56x = 110,910,658.56
  5. Step 5: Solve for x
    x = 110,910,658.56/9,238.56
  6. Step 6: Final answer
    x = 12,005.19

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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.