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Finding the Fourth Proportional to 6,031.84, 9,046.03 and 2,082.07

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Solution

The fourth proportional to 6,031.84, 9,046.03 and 2,082.07 is: 3,122.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.84 : 9,046.03 = 2,082.07 : x
  2. Step 2: Convert to fraction form
    6,031.84/9,046.03 = 2,082.07/x
  3. Step 3: Cross multiply
    6,031.84x = 9,046.03 × 2,082.07
  4. Step 4: Simplify right side
    6,031.84x = 18,834,469.88
  5. Step 5: Solve for x
    x = 18,834,469.88/6,031.84
  6. Step 6: Final answer
    x = 3,122.51

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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.