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Finding the Fourth Proportional to 9,042.99, 13,564.38 and 3,198.23

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Solution

The fourth proportional to 9,042.99, 13,564.38 and 3,198.23 is: 4,797.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.99 : 13,564.38 = 3,198.23 : x
  2. Step 2: Convert to fraction form
    9,042.99/13,564.38 = 3,198.23/x
  3. Step 3: Cross multiply
    9,042.99x = 13,564.38 × 3,198.23
  4. Step 4: Simplify right side
    9,042.99x = 43,381,991.06
  5. Step 5: Solve for x
    x = 43,381,991.06/9,042.99
  6. Step 6: Final answer
    x = 4,797.31

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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.