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Finding the Fourth Proportional to 7,082.72, 9,774.16 and 3,938.91

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Solution

The fourth proportional to 7,082.72, 9,774.16 and 3,938.91 is: 5,435.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.72 : 9,774.16 = 3,938.91 : x
  2. Step 2: Convert to fraction form
    7,082.72/9,774.16 = 3,938.91/x
  3. Step 3: Cross multiply
    7,082.72x = 9,774.16 × 3,938.91
  4. Step 4: Simplify right side
    7,082.72x = 38,499,535.47
  5. Step 5: Solve for x
    x = 38,499,535.47/7,082.72
  6. Step 6: Final answer
    x = 5,435.70

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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.