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Finding the Fourth Proportional to 9,617.82, 14,410.31 and 5,227.44

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Solution

The fourth proportional to 9,617.82, 14,410.31 and 5,227.44 is: 7,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.82 : 14,410.31 = 5,227.44 : x
  2. Step 2: Convert to fraction form
    9,617.82/14,410.31 = 5,227.44/x
  3. Step 3: Cross multiply
    9,617.82x = 14,410.31 × 5,227.44
  4. Step 4: Simplify right side
    9,617.82x = 75,329,004.77
  5. Step 5: Solve for x
    x = 75,329,004.77/9,617.82
  6. Step 6: Final answer
    x = 7,832.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.