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Finding the Fourth Proportional to 9,950, 14,923.26 and 3,286.58

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Solution

The fourth proportional to 9,950, 14,923.26 and 3,286.58 is: 4,929.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950 : 14,923.26 = 3,286.58 : x
  2. Step 2: Convert to fraction form
    9,950/14,923.26 = 3,286.58/x
  3. Step 3: Cross multiply
    9,950x = 14,923.26 × 3,286.58
  4. Step 4: Simplify right side
    9,950x = 49,046,487.85
  5. Step 5: Solve for x
    x = 49,046,487.85/9,950
  6. Step 6: Final answer
    x = 4,929.30

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