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Finding the Fourth Proportional to 9,548.97, 14,324.21 and 3,628.69

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Solution

The fourth proportional to 9,548.97, 14,324.21 and 3,628.69 is: 5,443.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.97 : 14,324.21 = 3,628.69 : x
  2. Step 2: Convert to fraction form
    9,548.97/14,324.21 = 3,628.69/x
  3. Step 3: Cross multiply
    9,548.97x = 14,324.21 × 3,628.69
  4. Step 4: Simplify right side
    9,548.97x = 51,978,090.85
  5. Step 5: Solve for x
    x = 51,978,090.85/9,548.97
  6. Step 6: Final answer
    x = 5,443.32

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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.