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Finding the Fourth Proportional to 9,101.54, 13,645.32 and 8,174.27

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Solution

The fourth proportional to 9,101.54, 13,645.32 and 8,174.27 is: 12,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.54 : 13,645.32 = 8,174.27 : x
  2. Step 2: Convert to fraction form
    9,101.54/13,645.32 = 8,174.27/x
  3. Step 3: Cross multiply
    9,101.54x = 13,645.32 × 8,174.27
  4. Step 4: Simplify right side
    9,101.54x = 111,540,461.69
  5. Step 5: Solve for x
    x = 111,540,461.69/9,101.54
  6. Step 6: Final answer
    x = 12,255.13

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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.