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Finding the Fourth Proportional to 8,923.83, 12,314.39 and 4,944.71

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Solution

The fourth proportional to 8,923.83, 12,314.39 and 4,944.71 is: 6,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.83 : 12,314.39 = 4,944.71 : x
  2. Step 2: Convert to fraction form
    8,923.83/12,314.39 = 4,944.71/x
  3. Step 3: Cross multiply
    8,923.83x = 12,314.39 × 4,944.71
  4. Step 4: Simplify right side
    8,923.83x = 60,891,001.08
  5. Step 5: Solve for x
    x = 60,891,001.08/8,923.83
  6. Step 6: Final answer
    x = 6,823.42

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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.