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Finding the Fourth Proportional to 9,944.64, 13,717.89 and 6,212.16

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Solution

The fourth proportional to 9,944.64, 13,717.89 and 6,212.16 is: 8,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.64 : 13,717.89 = 6,212.16 : x
  2. Step 2: Convert to fraction form
    9,944.64/13,717.89 = 6,212.16/x
  3. Step 3: Cross multiply
    9,944.64x = 13,717.89 × 6,212.16
  4. Step 4: Simplify right side
    9,944.64x = 85,217,727.54
  5. Step 5: Solve for x
    x = 85,217,727.54/9,944.64
  6. Step 6: Final answer
    x = 8,569.21

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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.