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Finding the Fourth Proportional to 6,517.84, 9,778.38 and 1,900.84

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Solution

The fourth proportional to 6,517.84, 9,778.38 and 1,900.84 is: 2,851.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.84 : 9,778.38 = 1,900.84 : x
  2. Step 2: Convert to fraction form
    6,517.84/9,778.38 = 1,900.84/x
  3. Step 3: Cross multiply
    6,517.84x = 9,778.38 × 1,900.84
  4. Step 4: Simplify right side
    6,517.84x = 18,587,135.84
  5. Step 5: Solve for x
    x = 18,587,135.84/6,517.84
  6. Step 6: Final answer
    x = 2,851.73

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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.