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Finding the Fourth Proportional to 6,633.69, 9,154.08 and 3,982.56

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Solution

The fourth proportional to 6,633.69, 9,154.08 and 3,982.56 is: 5,495.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.69 : 9,154.08 = 3,982.56 : x
  2. Step 2: Convert to fraction form
    6,633.69/9,154.08 = 3,982.56/x
  3. Step 3: Cross multiply
    6,633.69x = 9,154.08 × 3,982.56
  4. Step 4: Simplify right side
    6,633.69x = 36,456,672.84
  5. Step 5: Solve for x
    x = 36,456,672.84/6,633.69
  6. Step 6: Final answer
    x = 5,495.69

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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.