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Finding the Fourth Proportional to 9,197.96, 13,802.70 and 3,725.96

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Solution

The fourth proportional to 9,197.96, 13,802.70 and 3,725.96 is: 5,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.96 : 13,802.70 = 3,725.96 : x
  2. Step 2: Convert to fraction form
    9,197.96/13,802.70 = 3,725.96/x
  3. Step 3: Cross multiply
    9,197.96x = 13,802.70 × 3,725.96
  4. Step 4: Simplify right side
    9,197.96x = 51,428,308.09
  5. Step 5: Solve for x
    x = 51,428,308.09/9,197.96
  6. Step 6: Final answer
    x = 5,591.27

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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.