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Finding the Fourth Proportional to 6,786.37, 9,365.19 and 3,761.69

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Solution

The fourth proportional to 6,786.37, 9,365.19 and 3,761.69 is: 5,191.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.37 : 9,365.19 = 3,761.69 : x
  2. Step 2: Convert to fraction form
    6,786.37/9,365.19 = 3,761.69/x
  3. Step 3: Cross multiply
    6,786.37x = 9,365.19 × 3,761.69
  4. Step 4: Simplify right side
    6,786.37x = 35,228,880.64
  5. Step 5: Solve for x
    x = 35,228,880.64/6,786.37
  6. Step 6: Final answer
    x = 5,191.12

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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.