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Finding the Fourth Proportional to 6,522.75, 9,778.95 and 3,234.96

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Solution

The fourth proportional to 6,522.75, 9,778.95 and 3,234.96 is: 4,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.75 : 9,778.95 = 3,234.96 : x
  2. Step 2: Convert to fraction form
    6,522.75/9,778.95 = 3,234.96/x
  3. Step 3: Cross multiply
    6,522.75x = 9,778.95 × 3,234.96
  4. Step 4: Simplify right side
    6,522.75x = 31,634,512.09
  5. Step 5: Solve for x
    x = 31,634,512.09/6,522.75
  6. Step 6: Final answer
    x = 4,849.87

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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.