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Finding the Fourth Proportional to 6,101.75, 9,143.04 and 3,635.22

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Solution

The fourth proportional to 6,101.75, 9,143.04 and 3,635.22 is: 5,447.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.75 : 9,143.04 = 3,635.22 : x
  2. Step 2: Convert to fraction form
    6,101.75/9,143.04 = 3,635.22/x
  3. Step 3: Cross multiply
    6,101.75x = 9,143.04 × 3,635.22
  4. Step 4: Simplify right side
    6,101.75x = 33,236,961.87
  5. Step 5: Solve for x
    x = 33,236,961.87/6,101.75
  6. Step 6: Final answer
    x = 5,447.12

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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.