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Finding the Fourth Proportional to 9,441, 14,163.53 and 3,201.17

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Solution

The fourth proportional to 9,441, 14,163.53 and 3,201.17 is: 4,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441 : 14,163.53 = 3,201.17 : x
  2. Step 2: Convert to fraction form
    9,441/14,163.53 = 3,201.17/x
  3. Step 3: Cross multiply
    9,441x = 14,163.53 × 3,201.17
  4. Step 4: Simplify right side
    9,441x = 45,339,780.51
  5. Step 5: Solve for x
    x = 45,339,780.51/9,441
  6. Step 6: Final answer
    x = 4,802.43

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Why These Related Problems?

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