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Finding the Fourth Proportional to 9,441.38, 14,162.07 and 3,201.41

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Solution

The fourth proportional to 9,441.38, 14,162.07 and 3,201.41 is: 4,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.38 : 14,162.07 = 3,201.41 : x
  2. Step 2: Convert to fraction form
    9,441.38/14,162.07 = 3,201.41/x
  3. Step 3: Cross multiply
    9,441.38x = 14,162.07 × 3,201.41
  4. Step 4: Simplify right side
    9,441.38x = 45,338,592.52
  5. Step 5: Solve for x
    x = 45,338,592.52/9,441.38
  6. Step 6: Final answer
    x = 4,802.12

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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.