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Finding the Fourth Proportional to 9,976.20, 14,945.76 and 6,811.80

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Solution

The fourth proportional to 9,976.20, 14,945.76 and 6,811.80 is: 10,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.20 : 14,945.76 = 6,811.80 : x
  2. Step 2: Convert to fraction form
    9,976.20/14,945.76 = 6,811.80/x
  3. Step 3: Cross multiply
    9,976.20x = 14,945.76 × 6,811.80
  4. Step 4: Simplify right side
    9,976.20x = 101,807,527.97
  5. Step 5: Solve for x
    x = 101,807,527.97/9,976.20
  6. Step 6: Final answer
    x = 10,205.04

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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.