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Finding the Fourth Proportional to 6,105.26, 9,157.88 and 2,208.75

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Solution

The fourth proportional to 6,105.26, 9,157.88 and 2,208.75 is: 3,313.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.26 : 9,157.88 = 2,208.75 : x
  2. Step 2: Convert to fraction form
    6,105.26/9,157.88 = 2,208.75/x
  3. Step 3: Cross multiply
    6,105.26x = 9,157.88 × 2,208.75
  4. Step 4: Simplify right side
    6,105.26x = 20,227,456.41
  5. Step 5: Solve for x
    x = 20,227,456.41/6,105.26
  6. Step 6: Final answer
    x = 3,313.12

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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.