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Finding the Fourth Proportional to 9,175.86, 12,662.78 and 5,196.87

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Solution

The fourth proportional to 9,175.86, 12,662.78 and 5,196.87 is: 7,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.86 : 12,662.78 = 5,196.87 : x
  2. Step 2: Convert to fraction form
    9,175.86/12,662.78 = 5,196.87/x
  3. Step 3: Cross multiply
    9,175.86x = 12,662.78 × 5,196.87
  4. Step 4: Simplify right side
    9,175.86x = 65,806,795.51
  5. Step 5: Solve for x
    x = 65,806,795.51/9,175.86
  6. Step 6: Final answer
    x = 7,171.73

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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.