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Finding the Fourth Proportional to 9,082.43, 12,533.97 and 5,103.44

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Solution

The fourth proportional to 9,082.43, 12,533.97 and 5,103.44 is: 7,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.43 : 12,533.97 = 5,103.44 : x
  2. Step 2: Convert to fraction form
    9,082.43/12,533.97 = 5,103.44/x
  3. Step 3: Cross multiply
    9,082.43x = 12,533.97 × 5,103.44
  4. Step 4: Simplify right side
    9,082.43x = 63,966,367.33
  5. Step 5: Solve for x
    x = 63,966,367.33/9,082.43
  6. Step 6: Final answer
    x = 7,042.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.