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Finding the Fourth Proportional to 6,896.80, 9,516.18 and 6,659.74

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Solution

The fourth proportional to 6,896.80, 9,516.18 and 6,659.74 is: 9,189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.80 : 9,516.18 = 6,659.74 : x
  2. Step 2: Convert to fraction form
    6,896.80/9,516.18 = 6,659.74/x
  3. Step 3: Cross multiply
    6,896.80x = 9,516.18 × 6,659.74
  4. Step 4: Simplify right side
    6,896.80x = 63,375,284.59
  5. Step 5: Solve for x
    x = 63,375,284.59/6,896.80
  6. Step 6: Final answer
    x = 9,189.09

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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.