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Finding the Fourth Proportional to 9,481.70, 14,224.53 and 3,638.27

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Solution

The fourth proportional to 9,481.70, 14,224.53 and 3,638.27 is: 5,458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.70 : 14,224.53 = 3,638.27 : x
  2. Step 2: Convert to fraction form
    9,481.70/14,224.53 = 3,638.27/x
  3. Step 3: Cross multiply
    9,481.70x = 14,224.53 × 3,638.27
  4. Step 4: Simplify right side
    9,481.70x = 51,752,680.76
  5. Step 5: Solve for x
    x = 51,752,680.76/9,481.70
  6. Step 6: Final answer
    x = 5,458.16

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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.