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Finding the Fourth Proportional to 6,301.01, 9,446.46 and 4,082.10

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Solution

The fourth proportional to 6,301.01, 9,446.46 and 4,082.10 is: 6,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.01 : 9,446.46 = 4,082.10 : x
  2. Step 2: Convert to fraction form
    6,301.01/9,446.46 = 4,082.10/x
  3. Step 3: Cross multiply
    6,301.01x = 9,446.46 × 4,082.10
  4. Step 4: Simplify right side
    6,301.01x = 38,561,394.37
  5. Step 5: Solve for x
    x = 38,561,394.37/6,301.01
  6. Step 6: Final answer
    x = 6,119.88

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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.