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Finding the Fourth Proportional to 9,769.73, 13,482.24 and 5,735.78

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Solution

The fourth proportional to 9,769.73, 13,482.24 and 5,735.78 is: 7,915.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.73 : 13,482.24 = 5,735.78 : x
  2. Step 2: Convert to fraction form
    9,769.73/13,482.24 = 5,735.78/x
  3. Step 3: Cross multiply
    9,769.73x = 13,482.24 × 5,735.78
  4. Step 4: Simplify right side
    9,769.73x = 77,331,095.14
  5. Step 5: Solve for x
    x = 77,331,095.14/9,769.73
  6. Step 6: Final answer
    x = 7,915.38

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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.