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Finding the Fourth Proportional to 9,939.69, 13,716.49 and 5,463.44

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Solution

The fourth proportional to 9,939.69, 13,716.49 and 5,463.44 is: 7,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.69 : 13,716.49 = 5,463.44 : x
  2. Step 2: Convert to fraction form
    9,939.69/13,716.49 = 5,463.44/x
  3. Step 3: Cross multiply
    9,939.69x = 13,716.49 × 5,463.44
  4. Step 4: Simplify right side
    9,939.69x = 74,939,220.13
  5. Step 5: Solve for x
    x = 74,939,220.13/9,939.69
  6. Step 6: Final answer
    x = 7,539.39

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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.