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Finding the Fourth Proportional to 8,923.62, 12,314.10 and 4,944.48

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Solution

The fourth proportional to 8,923.62, 12,314.10 and 4,944.48 is: 6,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.62 : 12,314.10 = 4,944.48 : x
  2. Step 2: Convert to fraction form
    8,923.62/12,314.10 = 4,944.48/x
  3. Step 3: Cross multiply
    8,923.62x = 12,314.10 × 4,944.48
  4. Step 4: Simplify right side
    8,923.62x = 60,886,821.17
  5. Step 5: Solve for x
    x = 60,886,821.17/8,923.62
  6. Step 6: Final answer
    x = 6,823.11

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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.