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Finding the Fourth Proportional to 9,963.72, 14,945.45 and 3,394.49

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Solution

The fourth proportional to 9,963.72, 14,945.45 and 3,394.49 is: 5,091.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.72 : 14,945.45 = 3,394.49 : x
  2. Step 2: Convert to fraction form
    9,963.72/14,945.45 = 3,394.49/x
  3. Step 3: Cross multiply
    9,963.72x = 14,945.45 × 3,394.49
  4. Step 4: Simplify right side
    9,963.72x = 50,732,088.87
  5. Step 5: Solve for x
    x = 50,732,088.87/9,963.72
  6. Step 6: Final answer
    x = 5,091.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.