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Finding the Fourth Proportional to 7,082.45, 9,773.97 and 3,895.88

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Solution

The fourth proportional to 7,082.45, 9,773.97 and 3,895.88 is: 5,376.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.45 : 9,773.97 = 3,895.88 : x
  2. Step 2: Convert to fraction form
    7,082.45/9,773.97 = 3,895.88/x
  3. Step 3: Cross multiply
    7,082.45x = 9,773.97 × 3,895.88
  4. Step 4: Simplify right side
    7,082.45x = 38,078,205.74
  5. Step 5: Solve for x
    x = 38,078,205.74/7,082.45
  6. Step 6: Final answer
    x = 5,376.41

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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.