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Finding the Fourth Proportional to 6,775.60, 9,349.43 and 3,791.48

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Solution

The fourth proportional to 6,775.60, 9,349.43 and 3,791.48 is: 5,231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.60 : 9,349.43 = 3,791.48 : x
  2. Step 2: Convert to fraction form
    6,775.60/9,349.43 = 3,791.48/x
  3. Step 3: Cross multiply
    6,775.60x = 9,349.43 × 3,791.48
  4. Step 4: Simplify right side
    6,775.60x = 35,448,190.04
  5. Step 5: Solve for x
    x = 35,448,190.04/6,775.60
  6. Step 6: Final answer
    x = 5,231.74

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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.