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Finding the Fourth Proportional to 8,923.44, 12,314.18 and 4,944.47

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Solution

The fourth proportional to 8,923.44, 12,314.18 and 4,944.47 is: 6,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.44 : 12,314.18 = 4,944.47 : x
  2. Step 2: Convert to fraction form
    8,923.44/12,314.18 = 4,944.47/x
  3. Step 3: Cross multiply
    8,923.44x = 12,314.18 × 4,944.47
  4. Step 4: Simplify right side
    8,923.44x = 60,887,007.29
  5. Step 5: Solve for x
    x = 60,887,007.29/8,923.44
  6. Step 6: Final answer
    x = 6,823.27

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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.