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Finding the Fourth Proportional to 9,190.40, 12,680.53 and 5,832

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Solution

The fourth proportional to 9,190.40, 12,680.53 and 5,832 is: 8,046.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.40 : 12,680.53 = 5,832 : x
  2. Step 2: Convert to fraction form
    9,190.40/12,680.53 = 5,832/x
  3. Step 3: Cross multiply
    9,190.40x = 12,680.53 × 5,832
  4. Step 4: Simplify right side
    9,190.40x = 73,952,836.38
  5. Step 5: Solve for x
    x = 73,952,836.38/9,190.40
  6. Step 6: Final answer
    x = 8,046.75

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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.