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Finding the Fourth Proportional to 9,441.32, 14,162.00 and 3,201.39

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Solution

The fourth proportional to 9,441.32, 14,162.00 and 3,201.39 is: 4,802.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.32 : 14,162.00 = 3,201.39 : x
  2. Step 2: Convert to fraction form
    9,441.32/14,162.00 = 3,201.39/x
  3. Step 3: Cross multiply
    9,441.32x = 14,162.00 × 3,201.39
  4. Step 4: Simplify right side
    9,441.32x = 45,338,069.17
  5. Step 5: Solve for x
    x = 45,338,069.17/9,441.32
  6. Step 6: Final answer
    x = 4,802.09

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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.