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Finding the Fourth Proportional to 6,034.62, 9,049.21 and 2,138.14

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Solution

The fourth proportional to 6,034.62, 9,049.21 and 2,138.14 is: 3,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.62 : 9,049.21 = 2,138.14 : x
  2. Step 2: Convert to fraction form
    6,034.62/9,049.21 = 2,138.14/x
  3. Step 3: Cross multiply
    6,034.62x = 9,049.21 × 2,138.14
  4. Step 4: Simplify right side
    6,034.62x = 19,348,477.87
  5. Step 5: Solve for x
    x = 19,348,477.87/6,034.62
  6. Step 6: Final answer
    x = 3,206.25

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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.