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Finding the Fourth Proportional to 9,604.96, 14,407.44 and 3,760.81

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Solution

The fourth proportional to 9,604.96, 14,407.44 and 3,760.81 is: 5,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.96 : 14,407.44 = 3,760.81 : x
  2. Step 2: Convert to fraction form
    9,604.96/14,407.44 = 3,760.81/x
  3. Step 3: Cross multiply
    9,604.96x = 14,407.44 × 3,760.81
  4. Step 4: Simplify right side
    9,604.96x = 54,183,644.43
  5. Step 5: Solve for x
    x = 54,183,644.43/9,604.96
  6. Step 6: Final answer
    x = 5,641.22

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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.