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Finding the Fourth Proportional to 9,170.59, 13,772.89 and 6,399.17

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Solution

The fourth proportional to 9,170.59, 13,772.89 and 6,399.17 is: 9,610.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.59 : 13,772.89 = 6,399.17 : x
  2. Step 2: Convert to fraction form
    9,170.59/13,772.89 = 6,399.17/x
  3. Step 3: Cross multiply
    9,170.59x = 13,772.89 × 6,399.17
  4. Step 4: Simplify right side
    9,170.59x = 88,135,064.50
  5. Step 5: Solve for x
    x = 88,135,064.50/9,170.59
  6. Step 6: Final answer
    x = 9,610.63

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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.