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Finding the Fourth Proportional to 9,887.38, 13,649.52 and 5,694.82

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Solution

The fourth proportional to 9,887.38, 13,649.52 and 5,694.82 is: 7,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.38 : 13,649.52 = 5,694.82 : x
  2. Step 2: Convert to fraction form
    9,887.38/13,649.52 = 5,694.82/x
  3. Step 3: Cross multiply
    9,887.38x = 13,649.52 × 5,694.82
  4. Step 4: Simplify right side
    9,887.38x = 77,731,559.49
  5. Step 5: Solve for x
    x = 77,731,559.49/9,887.38
  6. Step 6: Final answer
    x = 7,861.69

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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.