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Finding the Fourth Proportional to 9,687.88, 13,369.38 and 5,495.80

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Solution

The fourth proportional to 9,687.88, 13,369.38 and 5,495.80 is: 7,584.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.88 : 13,369.38 = 5,495.80 : x
  2. Step 2: Convert to fraction form
    9,687.88/13,369.38 = 5,495.80/x
  3. Step 3: Cross multiply
    9,687.88x = 13,369.38 × 5,495.80
  4. Step 4: Simplify right side
    9,687.88x = 73,475,438.60
  5. Step 5: Solve for x
    x = 73,475,438.60/9,687.88
  6. Step 6: Final answer
    x = 7,584.26

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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.