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Finding the Fourth Proportional to 6,082.56, 9,122.76 and 2,134.35

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Solution

The fourth proportional to 6,082.56, 9,122.76 and 2,134.35 is: 3,201.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.56 : 9,122.76 = 2,134.35 : x
  2. Step 2: Convert to fraction form
    6,082.56/9,122.76 = 2,134.35/x
  3. Step 3: Cross multiply
    6,082.56x = 9,122.76 × 2,134.35
  4. Step 4: Simplify right side
    6,082.56x = 19,471,162.81
  5. Step 5: Solve for x
    x = 19,471,162.81/6,082.56
  6. Step 6: Final answer
    x = 3,201.15

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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.