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Finding the Fourth Proportional to 9,523.67, 13,141.10 and 5,984.38

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Solution

The fourth proportional to 9,523.67, 13,141.10 and 5,984.38 is: 8,257.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.67 : 13,141.10 = 5,984.38 : x
  2. Step 2: Convert to fraction form
    9,523.67/13,141.10 = 5,984.38/x
  3. Step 3: Cross multiply
    9,523.67x = 13,141.10 × 5,984.38
  4. Step 4: Simplify right side
    9,523.67x = 78,641,336.02
  5. Step 5: Solve for x
    x = 78,641,336.02/9,523.67
  6. Step 6: Final answer
    x = 8,257.46

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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.