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Finding the Fourth Proportional to 9,839.24, 13,578.13 and 5,362.97

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Solution

The fourth proportional to 9,839.24, 13,578.13 and 5,362.97 is: 7,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.24 : 13,578.13 = 5,362.97 : x
  2. Step 2: Convert to fraction form
    9,839.24/13,578.13 = 5,362.97/x
  3. Step 3: Cross multiply
    9,839.24x = 13,578.13 × 5,362.97
  4. Step 4: Simplify right side
    9,839.24x = 72,819,124.38
  5. Step 5: Solve for x
    x = 72,819,124.38/9,839.24
  6. Step 6: Final answer
    x = 7,400.89

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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.