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Finding the Fourth Proportional to 6,762.14, 9,331.83 and 3,778.10

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Solution

The fourth proportional to 6,762.14, 9,331.83 and 3,778.10 is: 5,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.14 : 9,331.83 = 3,778.10 : x
  2. Step 2: Convert to fraction form
    6,762.14/9,331.83 = 3,778.10/x
  3. Step 3: Cross multiply
    6,762.14x = 9,331.83 × 3,778.10
  4. Step 4: Simplify right side
    6,762.14x = 35,256,586.92
  5. Step 5: Solve for x
    x = 35,256,586.92/6,762.14
  6. Step 6: Final answer
    x = 5,213.82

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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.