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Finding the Fourth Proportional to 9,951.44, 13,733.34 and 5,971.78

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Solution

The fourth proportional to 9,951.44, 13,733.34 and 5,971.78 is: 8,241.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.44 : 13,733.34 = 5,971.78 : x
  2. Step 2: Convert to fraction form
    9,951.44/13,733.34 = 5,971.78/x
  3. Step 3: Cross multiply
    9,951.44x = 13,733.34 × 5,971.78
  4. Step 4: Simplify right side
    9,951.44x = 82,012,485.15
  5. Step 5: Solve for x
    x = 82,012,485.15/9,951.44
  6. Step 6: Final answer
    x = 8,241.27

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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.