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Finding the Fourth Proportional to 6,001.74, 9,002.62 and 2,105.24

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Solution

The fourth proportional to 6,001.74, 9,002.62 and 2,105.24 is: 3,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.74 : 9,002.62 = 2,105.24 : x
  2. Step 2: Convert to fraction form
    6,001.74/9,002.62 = 2,105.24/x
  3. Step 3: Cross multiply
    6,001.74x = 9,002.62 × 2,105.24
  4. Step 4: Simplify right side
    6,001.74x = 18,952,675.73
  5. Step 5: Solve for x
    x = 18,952,675.73/6,001.74
  6. Step 6: Final answer
    x = 3,157.86

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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.