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Finding the Fourth Proportional to 9,694.86, 14,523.25 and 6,397.89

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Solution

The fourth proportional to 9,694.86, 14,523.25 and 6,397.89 is: 9,584.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.86 : 14,523.25 = 6,397.89 : x
  2. Step 2: Convert to fraction form
    9,694.86/14,523.25 = 6,397.89/x
  3. Step 3: Cross multiply
    9,694.86x = 14,523.25 × 6,397.89
  4. Step 4: Simplify right side
    9,694.86x = 92,918,155.94
  5. Step 5: Solve for x
    x = 92,918,155.94/9,694.86
  6. Step 6: Final answer
    x = 9,584.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.