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Finding the Fourth Proportional to 6,517.68, 9,777.27 and 1,900.68

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Solution

The fourth proportional to 6,517.68, 9,777.27 and 1,900.68 is: 2,851.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.68 : 9,777.27 = 1,900.68 : x
  2. Step 2: Convert to fraction form
    6,517.68/9,777.27 = 1,900.68/x
  3. Step 3: Cross multiply
    6,517.68x = 9,777.27 × 1,900.68
  4. Step 4: Simplify right side
    6,517.68x = 18,583,461.54
  5. Step 5: Solve for x
    x = 18,583,461.54/6,517.68
  6. Step 6: Final answer
    x = 2,851.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.