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Finding the Fourth Proportional to 9,082.01, 13,618.14 and 3,885.05

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Solution

The fourth proportional to 9,082.01, 13,618.14 and 3,885.05 is: 5,825.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.01 : 13,618.14 = 3,885.05 : x
  2. Step 2: Convert to fraction form
    9,082.01/13,618.14 = 3,885.05/x
  3. Step 3: Cross multiply
    9,082.01x = 13,618.14 × 3,885.05
  4. Step 4: Simplify right side
    9,082.01x = 52,907,086.72
  5. Step 5: Solve for x
    x = 52,907,086.72/9,082.01
  6. Step 6: Final answer
    x = 5,825.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.