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Finding the Fourth Proportional to 9,638.38, 14,453.49 and 3,062.80

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Solution

The fourth proportional to 9,638.38, 14,453.49 and 3,062.80 is: 4,592.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.38 : 14,453.49 = 3,062.80 : x
  2. Step 2: Convert to fraction form
    9,638.38/14,453.49 = 3,062.80/x
  3. Step 3: Cross multiply
    9,638.38x = 14,453.49 × 3,062.80
  4. Step 4: Simplify right side
    9,638.38x = 44,268,149.17
  5. Step 5: Solve for x
    x = 44,268,149.17/9,638.38
  6. Step 6: Final answer
    x = 4,592.90

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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.