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Finding the Fourth Proportional to 9,006.09, 13,504.07 and 6,198.23

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Solution

The fourth proportional to 9,006.09, 13,504.07 and 6,198.23 is: 9,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.09 : 13,504.07 = 6,198.23 : x
  2. Step 2: Convert to fraction form
    9,006.09/13,504.07 = 6,198.23/x
  3. Step 3: Cross multiply
    9,006.09x = 13,504.07 × 6,198.23
  4. Step 4: Simplify right side
    9,006.09x = 83,701,233.28
  5. Step 5: Solve for x
    x = 83,701,233.28/9,006.09
  6. Step 6: Final answer
    x = 9,293.85

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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.