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Finding the Fourth Proportional to 8,972.89, 12,382.99 and 5,196.22

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Solution

The fourth proportional to 8,972.89, 12,382.99 and 5,196.22 is: 7,171.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.89 : 12,382.99 = 5,196.22 : x
  2. Step 2: Convert to fraction form
    8,972.89/12,382.99 = 5,196.22/x
  3. Step 3: Cross multiply
    8,972.89x = 12,382.99 × 5,196.22
  4. Step 4: Simplify right side
    8,972.89x = 64,344,652.40
  5. Step 5: Solve for x
    x = 64,344,652.40/8,972.89
  6. Step 6: Final answer
    x = 7,171.01

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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.