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Finding the Fourth Proportional to 6,834.40, 10,237.02 and 4,229.44

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Solution

The fourth proportional to 6,834.40, 10,237.02 and 4,229.44 is: 6,335.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.40 : 10,237.02 = 4,229.44 : x
  2. Step 2: Convert to fraction form
    6,834.40/10,237.02 = 4,229.44/x
  3. Step 3: Cross multiply
    6,834.40x = 10,237.02 × 4,229.44
  4. Step 4: Simplify right side
    6,834.40x = 43,296,861.87
  5. Step 5: Solve for x
    x = 43,296,861.87/6,834.40
  6. Step 6: Final answer
    x = 6,335.14

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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.