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Finding the Fourth Proportional to 6,234.14, 9,348.78 and 2,336.42

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Solution

The fourth proportional to 6,234.14, 9,348.78 and 2,336.42 is: 3,503.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.14 : 9,348.78 = 2,336.42 : x
  2. Step 2: Convert to fraction form
    6,234.14/9,348.78 = 2,336.42/x
  3. Step 3: Cross multiply
    6,234.14x = 9,348.78 × 2,336.42
  4. Step 4: Simplify right side
    6,234.14x = 21,842,676.57
  5. Step 5: Solve for x
    x = 21,842,676.57/6,234.14
  6. Step 6: Final answer
    x = 3,503.72

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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.