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Finding the Fourth Proportional to 9,949, 14,912.57 and 4,102.42

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Solution

The fourth proportional to 9,949, 14,912.57 and 4,102.42 is: 6,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949 : 14,912.57 = 4,102.42 : x
  2. Step 2: Convert to fraction form
    9,949/14,912.57 = 4,102.42/x
  3. Step 3: Cross multiply
    9,949x = 14,912.57 × 4,102.42
  4. Step 4: Simplify right side
    9,949x = 61,177,625.42
  5. Step 5: Solve for x
    x = 61,177,625.42/9,949
  6. Step 6: Final answer
    x = 6,149.12

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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.