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Finding the Fourth Proportional to 8,923.26, 12,314.43 and 4,944.44

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Solution

The fourth proportional to 8,923.26, 12,314.43 and 4,944.44 is: 6,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.26 : 12,314.43 = 4,944.44 : x
  2. Step 2: Convert to fraction form
    8,923.26/12,314.43 = 4,944.44/x
  3. Step 3: Cross multiply
    8,923.26x = 12,314.43 × 4,944.44
  4. Step 4: Simplify right side
    8,923.26x = 60,887,991.06
  5. Step 5: Solve for x
    x = 60,887,991.06/8,923.26
  6. Step 6: Final answer
    x = 6,823.51

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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.