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Finding the Fourth Proportional to 6,511.97, 9,769.58 and 3,740.42

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Solution

The fourth proportional to 6,511.97, 9,769.58 and 3,740.42 is: 5,611.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.97 : 9,769.58 = 3,740.42 : x
  2. Step 2: Convert to fraction form
    6,511.97/9,769.58 = 3,740.42/x
  3. Step 3: Cross multiply
    6,511.97x = 9,769.58 × 3,740.42
  4. Step 4: Simplify right side
    6,511.97x = 36,542,332.42
  5. Step 5: Solve for x
    x = 36,542,332.42/6,511.97
  6. Step 6: Final answer
    x = 5,611.56

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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.