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Finding the Fourth Proportional to 6,789.42, 9,370.23 and 4,137.21

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Solution

The fourth proportional to 6,789.42, 9,370.23 and 4,137.21 is: 5,709.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.42 : 9,370.23 = 4,137.21 : x
  2. Step 2: Convert to fraction form
    6,789.42/9,370.23 = 4,137.21/x
  3. Step 3: Cross multiply
    6,789.42x = 9,370.23 × 4,137.21
  4. Step 4: Simplify right side
    6,789.42x = 38,766,609.26
  5. Step 5: Solve for x
    x = 38,766,609.26/6,789.42
  6. Step 6: Final answer
    x = 5,709.86

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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.