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Finding the Fourth Proportional to 6,003.14, 9,005.67 and 2,540.42

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Solution

The fourth proportional to 6,003.14, 9,005.67 and 2,540.42 is: 3,811.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.14 : 9,005.67 = 2,540.42 : x
  2. Step 2: Convert to fraction form
    6,003.14/9,005.67 = 2,540.42/x
  3. Step 3: Cross multiply
    6,003.14x = 9,005.67 × 2,540.42
  4. Step 4: Simplify right side
    6,003.14x = 22,878,184.18
  5. Step 5: Solve for x
    x = 22,878,184.18/6,003.14
  6. Step 6: Final answer
    x = 3,811.04

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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.