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Finding the Fourth Proportional to 9,939.74, 13,716.15 and 5,463.38

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Solution

The fourth proportional to 9,939.74, 13,716.15 and 5,463.38 is: 7,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,939.74 : 13,716.15 = 5,463.38 : x
  2. Step 2: Convert to fraction form
    9,939.74/13,716.15 = 5,463.38/x
  3. Step 3: Cross multiply
    9,939.74x = 13,716.15 × 5,463.38
  4. Step 4: Simplify right side
    9,939.74x = 74,936,539.59
  5. Step 5: Solve for x
    x = 74,936,539.59/9,939.74
  6. Step 6: Final answer
    x = 7,539.08

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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.