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Finding the Fourth Proportional to 9,175.93, 12,663.08 and 5,196.96

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Solution

The fourth proportional to 9,175.93, 12,663.08 and 5,196.96 is: 7,171.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.93 : 12,663.08 = 5,196.96 : x
  2. Step 2: Convert to fraction form
    9,175.93/12,663.08 = 5,196.96/x
  3. Step 3: Cross multiply
    9,175.93x = 12,663.08 × 5,196.96
  4. Step 4: Simplify right side
    9,175.93x = 65,809,542.97
  5. Step 5: Solve for x
    x = 65,809,542.97/9,175.93
  6. Step 6: Final answer
    x = 7,171.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.