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Finding the Fourth Proportional to 9,196.44, 12,691.14 and 5,004.68

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Solution

The fourth proportional to 9,196.44, 12,691.14 and 5,004.68 is: 6,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.44 : 12,691.14 = 5,004.68 : x
  2. Step 2: Convert to fraction form
    9,196.44/12,691.14 = 5,004.68/x
  3. Step 3: Cross multiply
    9,196.44x = 12,691.14 × 5,004.68
  4. Step 4: Simplify right side
    9,196.44x = 63,515,094.54
  5. Step 5: Solve for x
    x = 63,515,094.54/9,196.44
  6. Step 6: Final answer
    x = 6,906.49

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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.