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Finding the Fourth Proportional to 6,633.62, 9,154.33 and 3,649.46

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Solution

The fourth proportional to 6,633.62, 9,154.33 and 3,649.46 is: 5,036.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.62 : 9,154.33 = 3,649.46 : x
  2. Step 2: Convert to fraction form
    6,633.62/9,154.33 = 3,649.46/x
  3. Step 3: Cross multiply
    6,633.62x = 9,154.33 × 3,649.46
  4. Step 4: Simplify right side
    6,633.62x = 33,408,297.14
  5. Step 5: Solve for x
    x = 33,408,297.14/6,633.62
  6. Step 6: Final answer
    x = 5,036.21

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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.