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Finding the Fourth Proportional to 6,763, 9,333.14 and 3,778.96

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Solution

The fourth proportional to 6,763, 9,333.14 and 3,778.96 is: 5,215.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763 : 9,333.14 = 3,778.96 : x
  2. Step 2: Convert to fraction form
    6,763/9,333.14 = 3,778.96/x
  3. Step 3: Cross multiply
    6,763x = 9,333.14 × 3,778.96
  4. Step 4: Simplify right side
    6,763x = 35,269,562.73
  5. Step 5: Solve for x
    x = 35,269,562.73/6,763
  6. Step 6: Final answer
    x = 5,215.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.