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Finding the Fourth Proportional to 9,660.38, 13,331.06 and 5,680.58

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Solution

The fourth proportional to 9,660.38, 13,331.06 and 5,680.58 is: 7,839.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.38 : 13,331.06 = 5,680.58 : x
  2. Step 2: Convert to fraction form
    9,660.38/13,331.06 = 5,680.58/x
  3. Step 3: Cross multiply
    9,660.38x = 13,331.06 × 5,680.58
  4. Step 4: Simplify right side
    9,660.38x = 75,728,152.81
  5. Step 5: Solve for x
    x = 75,728,152.81/9,660.38
  6. Step 6: Final answer
    x = 7,839.04

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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.