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Finding the Fourth Proportional to 6,134.70, 9,212.85 and 4,493.10

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Solution

The fourth proportional to 6,134.70, 9,212.85 and 4,493.10 is: 6,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.70 : 9,212.85 = 4,493.10 : x
  2. Step 2: Convert to fraction form
    6,134.70/9,212.85 = 4,493.10/x
  3. Step 3: Cross multiply
    6,134.70x = 9,212.85 × 4,493.10
  4. Step 4: Simplify right side
    6,134.70x = 41,394,256.34
  5. Step 5: Solve for x
    x = 41,394,256.34/6,134.70
  6. Step 6: Final answer
    x = 6,747.56

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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.