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Finding the Fourth Proportional to 9,175.69, 12,667.82 and 6,655.38

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Solution

The fourth proportional to 9,175.69, 12,667.82 and 6,655.38 is: 9,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.69 : 12,667.82 = 6,655.38 : x
  2. Step 2: Convert to fraction form
    9,175.69/12,667.82 = 6,655.38/x
  3. Step 3: Cross multiply
    9,175.69x = 12,667.82 × 6,655.38
  4. Step 4: Simplify right side
    9,175.69x = 84,309,155.87
  5. Step 5: Solve for x
    x = 84,309,155.87/9,175.69
  6. Step 6: Final answer
    x = 9,188.32

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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.