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Finding the Fourth Proportional to 9,729.26, 13,427.39 and 5,954.94

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Solution

The fourth proportional to 9,729.26, 13,427.39 and 5,954.94 is: 8,218.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.26 : 13,427.39 = 5,954.94 : x
  2. Step 2: Convert to fraction form
    9,729.26/13,427.39 = 5,954.94/x
  3. Step 3: Cross multiply
    9,729.26x = 13,427.39 × 5,954.94
  4. Step 4: Simplify right side
    9,729.26x = 79,959,294.36
  5. Step 5: Solve for x
    x = 79,959,294.36/9,729.26
  6. Step 6: Final answer
    x = 8,218.44

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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.