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Finding the Fourth Proportional to 8,972.44, 12,380.64 and 4,993.60

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Solution

The fourth proportional to 8,972.44, 12,380.64 and 4,993.60 is: 6,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.44 : 12,380.64 = 4,993.60 : x
  2. Step 2: Convert to fraction form
    8,972.44/12,380.64 = 4,993.60/x
  3. Step 3: Cross multiply
    8,972.44x = 12,380.64 × 4,993.60
  4. Step 4: Simplify right side
    8,972.44x = 61,823,963.90
  5. Step 5: Solve for x
    x = 61,823,963.90/8,972.44
  6. Step 6: Final answer
    x = 6,890.43

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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.