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Finding the Fourth Proportional to 7,082.98, 9,774.57 and 3,939.10

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Solution

The fourth proportional to 7,082.98, 9,774.57 and 3,939.10 is: 5,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.98 : 9,774.57 = 3,939.10 : x
  2. Step 2: Convert to fraction form
    7,082.98/9,774.57 = 3,939.10/x
  3. Step 3: Cross multiply
    7,082.98x = 9,774.57 × 3,939.10
  4. Step 4: Simplify right side
    7,082.98x = 38,503,008.69
  5. Step 5: Solve for x
    x = 38,503,008.69/7,082.98
  6. Step 6: Final answer
    x = 5,435.99

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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.