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Finding the Fourth Proportional to 9,891.44, 13,650.12 and 5,415.27

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Solution

The fourth proportional to 9,891.44, 13,650.12 and 5,415.27 is: 7,473.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,891.44 : 13,650.12 = 5,415.27 : x
  2. Step 2: Convert to fraction form
    9,891.44/13,650.12 = 5,415.27/x
  3. Step 3: Cross multiply
    9,891.44x = 13,650.12 × 5,415.27
  4. Step 4: Simplify right side
    9,891.44x = 73,919,039.22
  5. Step 5: Solve for x
    x = 73,919,039.22/9,891.44
  6. Step 6: Final answer
    x = 7,473.03

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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.