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Finding the Fourth Proportional to 9,995, 14,993.22 and 3,839

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Solution

The fourth proportional to 9,995, 14,993.22 and 3,839 is: 5,758.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,995 : 14,993.22 = 3,839 : x
  2. Step 2: Convert to fraction form
    9,995/14,993.22 = 3,839/x
  3. Step 3: Cross multiply
    9,995x = 14,993.22 × 3,839
  4. Step 4: Simplify right side
    9,995x = 57,558,971.58
  5. Step 5: Solve for x
    x = 57,558,971.58/9,995
  6. Step 6: Final answer
    x = 5,758.78

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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.