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Finding the Fourth Proportional to 8,923.70, 12,314.81 and 4,944.86

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Solution

The fourth proportional to 8,923.70, 12,314.81 and 4,944.86 is: 6,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.70 : 12,314.81 = 4,944.86 : x
  2. Step 2: Convert to fraction form
    8,923.70/12,314.81 = 4,944.86/x
  3. Step 3: Cross multiply
    8,923.70x = 12,314.81 × 4,944.86
  4. Step 4: Simplify right side
    8,923.70x = 60,895,011.38
  5. Step 5: Solve for x
    x = 60,895,011.38/8,923.70
  6. Step 6: Final answer
    x = 6,823.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.