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Finding the Fourth Proportional to 8,923.24, 12,313.50 and 4,944.40

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Solution

The fourth proportional to 8,923.24, 12,313.50 and 4,944.40 is: 6,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.24 : 12,313.50 = 4,944.40 : x
  2. Step 2: Convert to fraction form
    8,923.24/12,313.50 = 4,944.40/x
  3. Step 3: Cross multiply
    8,923.24x = 12,313.50 × 4,944.40
  4. Step 4: Simplify right side
    8,923.24x = 60,882,869.40
  5. Step 5: Solve for x
    x = 60,882,869.40/8,923.24
  6. Step 6: Final answer
    x = 6,822.96

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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.