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Finding the Fourth Proportional to 9,645.26, 13,309.97 and 5,664.92

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Solution

The fourth proportional to 9,645.26, 13,309.97 and 5,664.92 is: 7,817.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.26 : 13,309.97 = 5,664.92 : x
  2. Step 2: Convert to fraction form
    9,645.26/13,309.97 = 5,664.92/x
  3. Step 3: Cross multiply
    9,645.26x = 13,309.97 × 5,664.92
  4. Step 4: Simplify right side
    9,645.26x = 75,399,820.38
  5. Step 5: Solve for x
    x = 75,399,820.38/9,645.26
  6. Step 6: Final answer
    x = 7,817.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.