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Finding the Fourth Proportional to 9,517.75, 13,134.54 and 5,326

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Solution

The fourth proportional to 9,517.75, 13,134.54 and 5,326 is: 7,349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.75 : 13,134.54 = 5,326 : x
  2. Step 2: Convert to fraction form
    9,517.75/13,134.54 = 5,326/x
  3. Step 3: Cross multiply
    9,517.75x = 13,134.54 × 5,326
  4. Step 4: Simplify right side
    9,517.75x = 69,954,560.04
  5. Step 5: Solve for x
    x = 69,954,560.04/9,517.75
  6. Step 6: Final answer
    x = 7,349.91

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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.