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Finding the Fourth Proportional to 9,816.37, 14,728.46 and 3,576.80

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Solution

The fourth proportional to 9,816.37, 14,728.46 and 3,576.80 is: 5,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.37 : 14,728.46 = 3,576.80 : x
  2. Step 2: Convert to fraction form
    9,816.37/14,728.46 = 3,576.80/x
  3. Step 3: Cross multiply
    9,816.37x = 14,728.46 × 3,576.80
  4. Step 4: Simplify right side
    9,816.37x = 52,680,755.73
  5. Step 5: Solve for x
    x = 52,680,755.73/9,816.37
  6. Step 6: Final answer
    x = 5,366.62

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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.