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Finding the Fourth Proportional to 6,181.14, 9,212.24 and 6,082.73

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Solution

The fourth proportional to 6,181.14, 9,212.24 and 6,082.73 is: 9,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.14 : 9,212.24 = 6,082.73 : x
  2. Step 2: Convert to fraction form
    6,181.14/9,212.24 = 6,082.73/x
  3. Step 3: Cross multiply
    6,181.14x = 9,212.24 × 6,082.73
  4. Step 4: Simplify right side
    6,181.14x = 56,035,492.14
  5. Step 5: Solve for x
    x = 56,035,492.14/6,181.14
  6. Step 6: Final answer
    x = 9,065.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.