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Finding the Fourth Proportional to 9,961.33, 14,922.55 and 7,759.75

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Solution

The fourth proportional to 9,961.33, 14,922.55 and 7,759.75 is: 11,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,961.33 : 14,922.55 = 7,759.75 : x
  2. Step 2: Convert to fraction form
    9,961.33/14,922.55 = 7,759.75/x
  3. Step 3: Cross multiply
    9,961.33x = 14,922.55 × 7,759.75
  4. Step 4: Simplify right side
    9,961.33x = 115,795,257.36
  5. Step 5: Solve for x
    x = 115,795,257.36/9,961.33
  6. Step 6: Final answer
    x = 11,624.48

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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.