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Finding the Fourth Proportional to 9,872.82, 13,624.38 and 6,336

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Solution

The fourth proportional to 9,872.82, 13,624.38 and 6,336 is: 8,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.82 : 13,624.38 = 6,336 : x
  2. Step 2: Convert to fraction form
    9,872.82/13,624.38 = 6,336/x
  3. Step 3: Cross multiply
    9,872.82x = 13,624.38 × 6,336
  4. Step 4: Simplify right side
    9,872.82x = 86,324,071.68
  5. Step 5: Solve for x
    x = 86,324,071.68/9,872.82
  6. Step 6: Final answer
    x = 8,743.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.