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Finding the Fourth Proportional to 9,453.46, 14,181 and 3,606.88

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Solution

The fourth proportional to 9,453.46, 14,181 and 3,606.88 is: 5,410.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.46 : 14,181 = 3,606.88 : x
  2. Step 2: Convert to fraction form
    9,453.46/14,181 = 3,606.88/x
  3. Step 3: Cross multiply
    9,453.46x = 14,181 × 3,606.88
  4. Step 4: Simplify right side
    9,453.46x = 51,149,165.28
  5. Step 5: Solve for x
    x = 51,149,165.28/9,453.46
  6. Step 6: Final answer
    x = 5,410.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.