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Finding the Fourth Proportional to 9,231.93, 13,825.82 and 5,324.49

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Solution

The fourth proportional to 9,231.93, 13,825.82 and 5,324.49 is: 7,974.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.93 : 13,825.82 = 5,324.49 : x
  2. Step 2: Convert to fraction form
    9,231.93/13,825.82 = 5,324.49/x
  3. Step 3: Cross multiply
    9,231.93x = 13,825.82 × 5,324.49
  4. Step 4: Simplify right side
    9,231.93x = 73,615,453.64
  5. Step 5: Solve for x
    x = 73,615,453.64/9,231.93
  6. Step 6: Final answer
    x = 7,974.00

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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.