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Finding the Fourth Proportional to 9,460.27, 14,202.96 and 8,082.46

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Solution

The fourth proportional to 9,460.27, 14,202.96 and 8,082.46 is: 12,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.27 : 14,202.96 = 8,082.46 : x
  2. Step 2: Convert to fraction form
    9,460.27/14,202.96 = 8,082.46/x
  3. Step 3: Cross multiply
    9,460.27x = 14,202.96 × 8,082.46
  4. Step 4: Simplify right side
    9,460.27x = 114,794,856.08
  5. Step 5: Solve for x
    x = 114,794,856.08/9,460.27
  6. Step 6: Final answer
    x = 12,134.42

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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.