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Finding the Fourth Proportional to 9,196.74, 12,691.62 and 5,005.26

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Solution

The fourth proportional to 9,196.74, 12,691.62 and 5,005.26 is: 6,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.74 : 12,691.62 = 5,005.26 : x
  2. Step 2: Convert to fraction form
    9,196.74/12,691.62 = 5,005.26/x
  3. Step 3: Cross multiply
    9,196.74x = 12,691.62 × 5,005.26
  4. Step 4: Simplify right side
    9,196.74x = 63,524,857.92
  5. Step 5: Solve for x
    x = 63,524,857.92/9,196.74
  6. Step 6: Final answer
    x = 6,907.32

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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.