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Finding the Fourth Proportional to 9,162.74, 13,747.24 and 3,897.54

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Solution

The fourth proportional to 9,162.74, 13,747.24 and 3,897.54 is: 5,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.74 : 13,747.24 = 3,897.54 : x
  2. Step 2: Convert to fraction form
    9,162.74/13,747.24 = 3,897.54/x
  3. Step 3: Cross multiply
    9,162.74x = 13,747.24 × 3,897.54
  4. Step 4: Simplify right side
    9,162.74x = 53,580,417.79
  5. Step 5: Solve for x
    x = 53,580,417.79/9,162.74
  6. Step 6: Final answer
    x = 5,847.64

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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.