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Finding the Fourth Proportional to 9,960.72, 13,736.76 and 8,181.84

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Solution

The fourth proportional to 9,960.72, 13,736.76 and 8,181.84 is: 11,283.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,960.72 : 13,736.76 = 8,181.84 : x
  2. Step 2: Convert to fraction form
    9,960.72/13,736.76 = 8,181.84/x
  3. Step 3: Cross multiply
    9,960.72x = 13,736.76 × 8,181.84
  4. Step 4: Simplify right side
    9,960.72x = 112,391,972.44
  5. Step 5: Solve for x
    x = 112,391,972.44/9,960.72
  6. Step 6: Final answer
    x = 11,283.52

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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.