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Finding the Fourth Proportional to 9,945.92, 13,725.71 and 5,469.86

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Solution

The fourth proportional to 9,945.92, 13,725.71 and 5,469.86 is: 7,548.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.92 : 13,725.71 = 5,469.86 : x
  2. Step 2: Convert to fraction form
    9,945.92/13,725.71 = 5,469.86/x
  3. Step 3: Cross multiply
    9,945.92x = 13,725.71 × 5,469.86
  4. Step 4: Simplify right side
    9,945.92x = 75,077,616.12
  5. Step 5: Solve for x
    x = 75,077,616.12/9,945.92
  6. Step 6: Final answer
    x = 7,548.59

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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.