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Finding the Fourth Proportional to 9,859.14, 14,791.01 and 3,619.13

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Solution

The fourth proportional to 9,859.14, 14,791.01 and 3,619.13 is: 5,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.14 : 14,791.01 = 3,619.13 : x
  2. Step 2: Convert to fraction form
    9,859.14/14,791.01 = 3,619.13/x
  3. Step 3: Cross multiply
    9,859.14x = 14,791.01 × 3,619.13
  4. Step 4: Simplify right side
    9,859.14x = 53,530,495.97
  5. Step 5: Solve for x
    x = 53,530,495.97/9,859.14
  6. Step 6: Final answer
    x = 5,429.53

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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.