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Finding the Fourth Proportional to 6,896.62, 9,519.28 and 4,065.64

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Solution

The fourth proportional to 6,896.62, 9,519.28 and 4,065.64 is: 5,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.62 : 9,519.28 = 4,065.64 : x
  2. Step 2: Convert to fraction form
    6,896.62/9,519.28 = 4,065.64/x
  3. Step 3: Cross multiply
    6,896.62x = 9,519.28 × 4,065.64
  4. Step 4: Simplify right side
    6,896.62x = 38,701,965.54
  5. Step 5: Solve for x
    x = 38,701,965.54/6,896.62
  6. Step 6: Final answer
    x = 5,611.73

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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.