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Finding the Fourth Proportional to 6,661.49, 9,193.09 and 3,677.44

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Solution

The fourth proportional to 6,661.49, 9,193.09 and 3,677.44 is: 5,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.49 : 9,193.09 = 3,677.44 : x
  2. Step 2: Convert to fraction form
    6,661.49/9,193.09 = 3,677.44/x
  3. Step 3: Cross multiply
    6,661.49x = 9,193.09 × 3,677.44
  4. Step 4: Simplify right side
    6,661.49x = 33,806,990.92
  5. Step 5: Solve for x
    x = 33,806,990.92/6,661.49
  6. Step 6: Final answer
    x = 5,074.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.