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Finding the Fourth Proportional to 9,826, 14,759.33 and 7,954.09

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Solution

The fourth proportional to 9,826, 14,759.33 and 7,954.09 is: 11,947.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826 : 14,759.33 = 7,954.09 : x
  2. Step 2: Convert to fraction form
    9,826/14,759.33 = 7,954.09/x
  3. Step 3: Cross multiply
    9,826x = 14,759.33 × 7,954.09
  4. Step 4: Simplify right side
    9,826x = 117,397,039.16
  5. Step 5: Solve for x
    x = 117,397,039.16/9,826
  6. Step 6: Final answer
    x = 11,947.59

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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.