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Finding the Fourth Proportional to 9,850.38, 13,589.67 and 6,494.95

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Solution

The fourth proportional to 9,850.38, 13,589.67 and 6,494.95 is: 8,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.38 : 13,589.67 = 6,494.95 : x
  2. Step 2: Convert to fraction form
    9,850.38/13,589.67 = 6,494.95/x
  3. Step 3: Cross multiply
    9,850.38x = 13,589.67 × 6,494.95
  4. Step 4: Simplify right side
    9,850.38x = 88,264,227.17
  5. Step 5: Solve for x
    x = 88,264,227.17/9,850.38
  6. Step 6: Final answer
    x = 8,960.49

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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.