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Finding the Fourth Proportional to 6,336.30, 9,493.65 and 5,234.70

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Solution

The fourth proportional to 6,336.30, 9,493.65 and 5,234.70 is: 7,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.30 : 9,493.65 = 5,234.70 : x
  2. Step 2: Convert to fraction form
    6,336.30/9,493.65 = 5,234.70/x
  3. Step 3: Cross multiply
    6,336.30x = 9,493.65 × 5,234.70
  4. Step 4: Simplify right side
    6,336.30x = 49,696,409.66
  5. Step 5: Solve for x
    x = 49,696,409.66/6,336.30
  6. Step 6: Final answer
    x = 7,843.13

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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.