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Finding the Fourth Proportional to 9,839.60, 13,578.26 and 5,363.26

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Solution

The fourth proportional to 9,839.60, 13,578.26 and 5,363.26 is: 7,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.60 : 13,578.26 = 5,363.26 : x
  2. Step 2: Convert to fraction form
    9,839.60/13,578.26 = 5,363.26/x
  3. Step 3: Cross multiply
    9,839.60x = 13,578.26 × 5,363.26
  4. Step 4: Simplify right side
    9,839.60x = 72,823,738.73
  5. Step 5: Solve for x
    x = 72,823,738.73/9,839.60
  6. Step 6: Final answer
    x = 7,401.09

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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.