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Finding the Fourth Proportional to 9,993.35, 13,792.74 and 5,961.17

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Solution

The fourth proportional to 9,993.35, 13,792.74 and 5,961.17 is: 8,227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.35 : 13,792.74 = 5,961.17 : x
  2. Step 2: Convert to fraction form
    9,993.35/13,792.74 = 5,961.17/x
  3. Step 3: Cross multiply
    9,993.35x = 13,792.74 × 5,961.17
  4. Step 4: Simplify right side
    9,993.35x = 82,220,867.91
  5. Step 5: Solve for x
    x = 82,220,867.91/9,993.35
  6. Step 6: Final answer
    x = 8,227.56

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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.