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Finding the Fourth Proportional to 6,133.54, 9,198.93 and 3,324.01

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Solution

The fourth proportional to 6,133.54, 9,198.93 and 3,324.01 is: 4,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.54 : 9,198.93 = 3,324.01 : x
  2. Step 2: Convert to fraction form
    6,133.54/9,198.93 = 3,324.01/x
  3. Step 3: Cross multiply
    6,133.54x = 9,198.93 × 3,324.01
  4. Step 4: Simplify right side
    6,133.54x = 30,577,335.31
  5. Step 5: Solve for x
    x = 30,577,335.31/6,133.54
  6. Step 6: Final answer
    x = 4,985.27

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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.