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Finding the Fourth Proportional to 9,175.82, 12,660.46 and 5,399.15

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Solution

The fourth proportional to 9,175.82, 12,660.46 and 5,399.15 is: 7,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.82 : 12,660.46 = 5,399.15 : x
  2. Step 2: Convert to fraction form
    9,175.82/12,660.46 = 5,399.15/x
  3. Step 3: Cross multiply
    9,175.82x = 12,660.46 × 5,399.15
  4. Step 4: Simplify right side
    9,175.82x = 68,355,632.31
  5. Step 5: Solve for x
    x = 68,355,632.31/9,175.82
  6. Step 6: Final answer
    x = 7,449.54

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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.