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Finding the Fourth Proportional to 9,175.69, 13,757.99 and 5,009.93

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Solution

The fourth proportional to 9,175.69, 13,757.99 and 5,009.93 is: 7,511.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.69 : 13,757.99 = 5,009.93 : x
  2. Step 2: Convert to fraction form
    9,175.69/13,757.99 = 5,009.93/x
  3. Step 3: Cross multiply
    9,175.69x = 13,757.99 × 5,009.93
  4. Step 4: Simplify right side
    9,175.69x = 68,926,524.59
  5. Step 5: Solve for x
    x = 68,926,524.59/9,175.69
  6. Step 6: Final answer
    x = 7,511.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.