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Finding the Fourth Proportional to 6,756.14, 9,323.31 and 3,771.80

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Solution

The fourth proportional to 6,756.14, 9,323.31 and 3,771.80 is: 5,204.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.14 : 9,323.31 = 3,771.80 : x
  2. Step 2: Convert to fraction form
    6,756.14/9,323.31 = 3,771.80/x
  3. Step 3: Cross multiply
    6,756.14x = 9,323.31 × 3,771.80
  4. Step 4: Simplify right side
    6,756.14x = 35,165,660.66
  5. Step 5: Solve for x
    x = 35,165,660.66/6,756.14
  6. Step 6: Final answer
    x = 5,204.99

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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.