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Finding the Fourth Proportional to 6,920.81, 9,550.75 and 3,777.07

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Solution

The fourth proportional to 6,920.81, 9,550.75 and 3,777.07 is: 5,212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.81 : 9,550.75 = 3,777.07 : x
  2. Step 2: Convert to fraction form
    6,920.81/9,550.75 = 3,777.07/x
  3. Step 3: Cross multiply
    6,920.81x = 9,550.75 × 3,777.07
  4. Step 4: Simplify right side
    6,920.81x = 36,073,851.30
  5. Step 5: Solve for x
    x = 36,073,851.30/6,920.81
  6. Step 6: Final answer
    x = 5,212.37

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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.