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Finding the Fourth Proportional to 9,921.84, 13,692.72 and 5,943.12

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Solution

The fourth proportional to 9,921.84, 13,692.72 and 5,943.12 is: 8,201.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.84 : 13,692.72 = 5,943.12 : x
  2. Step 2: Convert to fraction form
    9,921.84/13,692.72 = 5,943.12/x
  3. Step 3: Cross multiply
    9,921.84x = 13,692.72 × 5,943.12
  4. Step 4: Simplify right side
    9,921.84x = 81,377,478.09
  5. Step 5: Solve for x
    x = 81,377,478.09/9,921.84
  6. Step 6: Final answer
    x = 8,201.85

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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.