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Finding the Fourth Proportional to 8,975.68, 12,388.14 and 5,945.44

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Solution

The fourth proportional to 8,975.68, 12,388.14 and 5,945.44 is: 8,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.68 : 12,388.14 = 5,945.44 : x
  2. Step 2: Convert to fraction form
    8,975.68/12,388.14 = 5,945.44/x
  3. Step 3: Cross multiply
    8,975.68x = 12,388.14 × 5,945.44
  4. Step 4: Simplify right side
    8,975.68x = 73,652,943.08
  5. Step 5: Solve for x
    x = 73,652,943.08/8,975.68
  6. Step 6: Final answer
    x = 8,205.83

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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.