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Finding the Fourth Proportional to 6,851.68, 9,455.26 and 3,707.80

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Solution

The fourth proportional to 6,851.68, 9,455.26 and 3,707.80 is: 5,116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,851.68 : 9,455.26 = 3,707.80 : x
  2. Step 2: Convert to fraction form
    6,851.68/9,455.26 = 3,707.80/x
  3. Step 3: Cross multiply
    6,851.68x = 9,455.26 × 3,707.80
  4. Step 4: Simplify right side
    6,851.68x = 35,058,213.03
  5. Step 5: Solve for x
    x = 35,058,213.03/6,851.68
  6. Step 6: Final answer
    x = 5,116.73

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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.