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Finding the Fourth Proportional to 7,082.27, 9,769.22 and 5,095.52

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Solution

The fourth proportional to 7,082.27, 9,769.22 and 5,095.52 is: 7,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.27 : 9,769.22 = 5,095.52 : x
  2. Step 2: Convert to fraction form
    7,082.27/9,769.22 = 5,095.52/x
  3. Step 3: Cross multiply
    7,082.27x = 9,769.22 × 5,095.52
  4. Step 4: Simplify right side
    7,082.27x = 49,779,181.57
  5. Step 5: Solve for x
    x = 49,779,181.57/7,082.27
  6. Step 6: Final answer
    x = 7,028.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.