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Finding the Fourth Proportional to 6,409.15, 9,618.01 and 2,249.17

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Solution

The fourth proportional to 6,409.15, 9,618.01 and 2,249.17 is: 3,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.15 : 9,618.01 = 2,249.17 : x
  2. Step 2: Convert to fraction form
    6,409.15/9,618.01 = 2,249.17/x
  3. Step 3: Cross multiply
    6,409.15x = 9,618.01 × 2,249.17
  4. Step 4: Simplify right side
    6,409.15x = 21,632,557.97
  5. Step 5: Solve for x
    x = 21,632,557.97/6,409.15
  6. Step 6: Final answer
    x = 3,375.26

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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.