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Finding the Fourth Proportional to 9,963.40, 14,945.10 and 6,481.80

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Solution

The fourth proportional to 9,963.40, 14,945.10 and 6,481.80 is: 9,722.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.40 : 14,945.10 = 6,481.80 : x
  2. Step 2: Convert to fraction form
    9,963.40/14,945.10 = 6,481.80/x
  3. Step 3: Cross multiply
    9,963.40x = 14,945.10 × 6,481.80
  4. Step 4: Simplify right side
    9,963.40x = 96,871,149.18
  5. Step 5: Solve for x
    x = 96,871,149.18/9,963.40
  6. Step 6: Final answer
    x = 9,722.70

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