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Finding the Fourth Proportional to 9,740.30, 13,441.86 and 5,963.38

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Solution

The fourth proportional to 9,740.30, 13,441.86 and 5,963.38 is: 8,229.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.30 : 13,441.86 = 5,963.38 : x
  2. Step 2: Convert to fraction form
    9,740.30/13,441.86 = 5,963.38/x
  3. Step 3: Cross multiply
    9,740.30x = 13,441.86 × 5,963.38
  4. Step 4: Simplify right side
    9,740.30x = 80,158,919.09
  5. Step 5: Solve for x
    x = 80,158,919.09/9,740.30
  6. Step 6: Final answer
    x = 8,229.62

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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.