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Finding the Fourth Proportional to 9,947.36, 13,726.52 and 5,755.88

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Solution

The fourth proportional to 9,947.36, 13,726.52 and 5,755.88 is: 7,942.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.36 : 13,726.52 = 5,755.88 : x
  2. Step 2: Convert to fraction form
    9,947.36/13,726.52 = 5,755.88/x
  3. Step 3: Cross multiply
    9,947.36x = 13,726.52 × 5,755.88
  4. Step 4: Simplify right side
    9,947.36x = 79,008,201.94
  5. Step 5: Solve for x
    x = 79,008,201.94/9,947.36
  6. Step 6: Final answer
    x = 7,942.63

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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.