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Finding the Fourth Proportional to 6,105.32, 9,157.66 and 2,001

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Solution

The fourth proportional to 6,105.32, 9,157.66 and 2,001 is: 3,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.32 : 9,157.66 = 2,001 : x
  2. Step 2: Convert to fraction form
    6,105.32/9,157.66 = 2,001/x
  3. Step 3: Cross multiply
    6,105.32x = 9,157.66 × 2,001
  4. Step 4: Simplify right side
    6,105.32x = 18,324,477.66
  5. Step 5: Solve for x
    x = 18,324,477.66/6,105.32
  6. Step 6: Final answer
    x = 3,001.40

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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.