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Finding the Fourth Proportional to 6,633.89, 9,154.82 and 3,649.74

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Solution

The fourth proportional to 6,633.89, 9,154.82 and 3,649.74 is: 5,036.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.89 : 9,154.82 = 3,649.74 : x
  2. Step 2: Convert to fraction form
    6,633.89/9,154.82 = 3,649.74/x
  3. Step 3: Cross multiply
    6,633.89x = 9,154.82 × 3,649.74
  4. Step 4: Simplify right side
    6,633.89x = 33,412,694.50
  5. Step 5: Solve for x
    x = 33,412,694.50/6,633.89
  6. Step 6: Final answer
    x = 5,036.67

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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.