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Finding the Fourth Proportional to 9,947.88, 13,732.74 and 5,755.32

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Solution

The fourth proportional to 9,947.88, 13,732.74 and 5,755.32 is: 7,945.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.88 : 13,732.74 = 5,755.32 : x
  2. Step 2: Convert to fraction form
    9,947.88/13,732.74 = 5,755.32/x
  3. Step 3: Cross multiply
    9,947.88x = 13,732.74 × 5,755.32
  4. Step 4: Simplify right side
    9,947.88x = 79,036,313.18
  5. Step 5: Solve for x
    x = 79,036,313.18/9,947.88
  6. Step 6: Final answer
    x = 7,945.04

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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.