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Finding the Fourth Proportional to 8,972.76, 12,382.81 and 5,196.09

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Solution

The fourth proportional to 8,972.76, 12,382.81 and 5,196.09 is: 7,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.76 : 12,382.81 = 5,196.09 : x
  2. Step 2: Convert to fraction form
    8,972.76/12,382.81 = 5,196.09/x
  3. Step 3: Cross multiply
    8,972.76x = 12,382.81 × 5,196.09
  4. Step 4: Simplify right side
    8,972.76x = 64,342,195.21
  5. Step 5: Solve for x
    x = 64,342,195.21/8,972.76
  6. Step 6: Final answer
    x = 7,170.84

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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.