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Finding the Fourth Proportional to 9,944.67, 13,722.18 and 6,169.35

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Solution

The fourth proportional to 9,944.67, 13,722.18 and 6,169.35 is: 8,512.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.67 : 13,722.18 = 6,169.35 : x
  2. Step 2: Convert to fraction form
    9,944.67/13,722.18 = 6,169.35/x
  3. Step 3: Cross multiply
    9,944.67x = 13,722.18 × 6,169.35
  4. Step 4: Simplify right side
    9,944.67x = 84,656,931.18
  5. Step 5: Solve for x
    x = 84,656,931.18/9,944.67
  6. Step 6: Final answer
    x = 8,512.79

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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.