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Finding the Fourth Proportional to 9,469.38, 13,069.96 and 5,887.04

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Solution

The fourth proportional to 9,469.38, 13,069.96 and 5,887.04 is: 8,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.38 : 13,069.96 = 5,887.04 : x
  2. Step 2: Convert to fraction form
    9,469.38/13,069.96 = 5,887.04/x
  3. Step 3: Cross multiply
    9,469.38x = 13,069.96 × 5,887.04
  4. Step 4: Simplify right side
    9,469.38x = 76,943,377.32
  5. Step 5: Solve for x
    x = 76,943,377.32/9,469.38
  6. Step 6: Final answer
    x = 8,125.49

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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.