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Finding the Fourth Proportional to 6,851.90, 9,449.07 and 4,163.56

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Solution

The fourth proportional to 6,851.90, 9,449.07 and 4,163.56 is: 5,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.90 : 9,449.07 = 4,163.56 : x
  2. Step 2: Convert to fraction form
    6,851.90/9,449.07 = 4,163.56/x
  3. Step 3: Cross multiply
    6,851.90x = 9,449.07 × 4,163.56
  4. Step 4: Simplify right side
    6,851.90x = 39,341,769.89
  5. Step 5: Solve for x
    x = 39,341,769.89/6,851.90
  6. Step 6: Final answer
    x = 5,741.73

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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.