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Finding the Fourth Proportional to 9,472.74, 14,201.01 and 3,633.54

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Solution

The fourth proportional to 9,472.74, 14,201.01 and 3,633.54 is: 5,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.74 : 14,201.01 = 3,633.54 : x
  2. Step 2: Convert to fraction form
    9,472.74/14,201.01 = 3,633.54/x
  3. Step 3: Cross multiply
    9,472.74x = 14,201.01 × 3,633.54
  4. Step 4: Simplify right side
    9,472.74x = 51,599,937.88
  5. Step 5: Solve for x
    x = 51,599,937.88/9,472.74
  6. Step 6: Final answer
    x = 5,447.20

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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.