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Finding the Fourth Proportional to 9,839.82, 13,579.03 and 5,363.56

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Solution

The fourth proportional to 9,839.82, 13,579.03 and 5,363.56 is: 7,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.82 : 13,579.03 = 5,363.56 : x
  2. Step 2: Convert to fraction form
    9,839.82/13,579.03 = 5,363.56/x
  3. Step 3: Cross multiply
    9,839.82x = 13,579.03 × 5,363.56
  4. Step 4: Simplify right side
    9,839.82x = 72,831,942.15
  5. Step 5: Solve for x
    x = 72,831,942.15/9,839.82
  6. Step 6: Final answer
    x = 7,401.76

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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.