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Finding the Fourth Proportional to 7,082.10, 9,773.46 and 3,938.76

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Solution

The fourth proportional to 7,082.10, 9,773.46 and 3,938.76 is: 5,435.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.10 : 9,773.46 = 3,938.76 : x
  2. Step 2: Convert to fraction form
    7,082.10/9,773.46 = 3,938.76/x
  3. Step 3: Cross multiply
    7,082.10x = 9,773.46 × 3,938.76
  4. Step 4: Simplify right side
    7,082.10x = 38,495,313.31
  5. Step 5: Solve for x
    x = 38,495,313.31/7,082.10
  6. Step 6: Final answer
    x = 5,435.58

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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.