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Finding the Fourth Proportional to 6,198.09, 8,553.23 and 3,509.26

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Solution

The fourth proportional to 6,198.09, 8,553.23 and 3,509.26 is: 4,842.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.09 : 8,553.23 = 3,509.26 : x
  2. Step 2: Convert to fraction form
    6,198.09/8,553.23 = 3,509.26/x
  3. Step 3: Cross multiply
    6,198.09x = 8,553.23 × 3,509.26
  4. Step 4: Simplify right side
    6,198.09x = 30,015,482.14
  5. Step 5: Solve for x
    x = 30,015,482.14/6,198.09
  6. Step 6: Final answer
    x = 4,842.70

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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.