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Finding the Fourth Proportional to 6,762.12, 9,331.80 and 3,778.20

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Solution

The fourth proportional to 6,762.12, 9,331.80 and 3,778.20 is: 5,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.12 : 9,331.80 = 3,778.20 : x
  2. Step 2: Convert to fraction form
    6,762.12/9,331.80 = 3,778.20/x
  3. Step 3: Cross multiply
    6,762.12x = 9,331.80 × 3,778.20
  4. Step 4: Simplify right side
    6,762.12x = 35,257,406.76
  5. Step 5: Solve for x
    x = 35,257,406.76/6,762.12
  6. Step 6: Final answer
    x = 5,213.96

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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.