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Finding the Fourth Proportional to 9,859.12, 14,759.97 and 5,168

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Solution

The fourth proportional to 9,859.12, 14,759.97 and 5,168 is: 7,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.12 : 14,759.97 = 5,168 : x
  2. Step 2: Convert to fraction form
    9,859.12/14,759.97 = 5,168/x
  3. Step 3: Cross multiply
    9,859.12x = 14,759.97 × 5,168
  4. Step 4: Simplify right side
    9,859.12x = 76,279,524.96
  5. Step 5: Solve for x
    x = 76,279,524.96/9,859.12
  6. Step 6: Final answer
    x = 7,736.95

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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.