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Finding the Fourth Proportional to 9,452.96, 14,180.41 and 3,614.48

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Solution

The fourth proportional to 9,452.96, 14,180.41 and 3,614.48 is: 5,422.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.96 : 14,180.41 = 3,614.48 : x
  2. Step 2: Convert to fraction form
    9,452.96/14,180.41 = 3,614.48/x
  3. Step 3: Cross multiply
    9,452.96x = 14,180.41 × 3,614.48
  4. Step 4: Simplify right side
    9,452.96x = 51,254,808.34
  5. Step 5: Solve for x
    x = 51,254,808.34/9,452.96
  6. Step 6: Final answer
    x = 5,422.09

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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.