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Finding the Fourth Proportional to 9,947.25, 13,729.41 and 7,789.51

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Solution

The fourth proportional to 9,947.25, 13,729.41 and 7,789.51 is: 10,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.25 : 13,729.41 = 7,789.51 : x
  2. Step 2: Convert to fraction form
    9,947.25/13,729.41 = 7,789.51/x
  3. Step 3: Cross multiply
    9,947.25x = 13,729.41 × 7,789.51
  4. Step 4: Simplify right side
    9,947.25x = 106,945,376.49
  5. Step 5: Solve for x
    x = 106,945,376.49/9,947.25
  6. Step 6: Final answer
    x = 10,751.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.