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Finding the Fourth Proportional to 6,762.23, 9,331.26 and 3,777.65

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Solution

The fourth proportional to 6,762.23, 9,331.26 and 3,777.65 is: 5,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.23 : 9,331.26 = 3,777.65 : x
  2. Step 2: Convert to fraction form
    6,762.23/9,331.26 = 3,777.65/x
  3. Step 3: Cross multiply
    6,762.23x = 9,331.26 × 3,777.65
  4. Step 4: Simplify right side
    6,762.23x = 35,250,234.34
  5. Step 5: Solve for x
    x = 35,250,234.34/6,762.23
  6. Step 6: Final answer
    x = 5,212.81

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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.