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Finding the Fourth Proportional to 7,066.70, 9,753.14 and 4,082.30

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Solution

The fourth proportional to 7,066.70, 9,753.14 and 4,082.30 is: 5,634.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,066.70 : 9,753.14 = 4,082.30 : x
  2. Step 2: Convert to fraction form
    7,066.70/9,753.14 = 4,082.30/x
  3. Step 3: Cross multiply
    7,066.70x = 9,753.14 × 4,082.30
  4. Step 4: Simplify right side
    7,066.70x = 39,815,243.42
  5. Step 5: Solve for x
    x = 39,815,243.42/7,066.70
  6. Step 6: Final answer
    x = 5,634.21

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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.