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Finding the Fourth Proportional to 6,638.68, 9,952.53 and 3,676.99

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Solution

The fourth proportional to 6,638.68, 9,952.53 and 3,676.99 is: 5,512.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.68 : 9,952.53 = 3,676.99 : x
  2. Step 2: Convert to fraction form
    6,638.68/9,952.53 = 3,676.99/x
  3. Step 3: Cross multiply
    6,638.68x = 9,952.53 × 3,676.99
  4. Step 4: Simplify right side
    6,638.68x = 36,595,353.28
  5. Step 5: Solve for x
    x = 36,595,353.28/6,638.68
  6. Step 6: Final answer
    x = 5,512.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.