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Finding the Fourth Proportional to 9,954.36, 13,738.82 and 8,273.61

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Solution

The fourth proportional to 9,954.36, 13,738.82 and 8,273.61 is: 11,419.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.36 : 13,738.82 = 8,273.61 : x
  2. Step 2: Convert to fraction form
    9,954.36/13,738.82 = 8,273.61/x
  3. Step 3: Cross multiply
    9,954.36x = 13,738.82 × 8,273.61
  4. Step 4: Simplify right side
    9,954.36x = 113,669,597.17
  5. Step 5: Solve for x
    x = 113,669,597.17/9,954.36
  6. Step 6: Final answer
    x = 11,419.08

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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.