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Finding the Fourth Proportional to 9,817.44, 14,727.60 and 3,660

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Solution

The fourth proportional to 9,817.44, 14,727.60 and 3,660 is: 5,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.44 : 14,727.60 = 3,660 : x
  2. Step 2: Convert to fraction form
    9,817.44/14,727.60 = 3,660/x
  3. Step 3: Cross multiply
    9,817.44x = 14,727.60 × 3,660
  4. Step 4: Simplify right side
    9,817.44x = 53,903,016
  5. Step 5: Solve for x
    x = 53,903,016/9,817.44
  6. Step 6: Final answer
    x = 5,490.54

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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.