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Finding the Fourth Proportional to 6,930.57, 10,397.85 and 3,234.99

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Solution

The fourth proportional to 6,930.57, 10,397.85 and 3,234.99 is: 4,853.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.57 : 10,397.85 = 3,234.99 : x
  2. Step 2: Convert to fraction form
    6,930.57/10,397.85 = 3,234.99/x
  3. Step 3: Cross multiply
    6,930.57x = 10,397.85 × 3,234.99
  4. Step 4: Simplify right side
    6,930.57x = 33,636,940.77
  5. Step 5: Solve for x
    x = 33,636,940.77/6,930.57
  6. Step 6: Final answer
    x = 4,853.42

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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.