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Finding the Fourth Proportional to 6,073.67, 9,107.40 and 2,123.30

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Solution

The fourth proportional to 6,073.67, 9,107.40 and 2,123.30 is: 3,183.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.67 : 9,107.40 = 2,123.30 : x
  2. Step 2: Convert to fraction form
    6,073.67/9,107.40 = 2,123.30/x
  3. Step 3: Cross multiply
    6,073.67x = 9,107.40 × 2,123.30
  4. Step 4: Simplify right side
    6,073.67x = 19,337,742.42
  5. Step 5: Solve for x
    x = 19,337,742.42/6,073.67
  6. Step 6: Final answer
    x = 3,183.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.