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Finding the Fourth Proportional to 9,887.38, 13,644.72 and 5,908.84

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Solution

The fourth proportional to 9,887.38, 13,644.72 and 5,908.84 is: 8,154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,887.38 : 13,644.72 = 5,908.84 : x
  2. Step 2: Convert to fraction form
    9,887.38/13,644.72 = 5,908.84/x
  3. Step 3: Cross multiply
    9,887.38x = 13,644.72 × 5,908.84
  4. Step 4: Simplify right side
    9,887.38x = 80,624,467.32
  5. Step 5: Solve for x
    x = 80,624,467.32/9,887.38
  6. Step 6: Final answer
    x = 8,154.28

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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.