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Finding the Fourth Proportional to 9,101.29, 13,644.94 and 8,174.01

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Solution

The fourth proportional to 9,101.29, 13,644.94 and 8,174.01 is: 12,254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.29 : 13,644.94 = 8,174.01 : x
  2. Step 2: Convert to fraction form
    9,101.29/13,644.94 = 8,174.01/x
  3. Step 3: Cross multiply
    9,101.29x = 13,644.94 × 8,174.01
  4. Step 4: Simplify right side
    9,101.29x = 111,533,876.01
  5. Step 5: Solve for x
    x = 111,533,876.01/9,101.29
  6. Step 6: Final answer
    x = 12,254.73

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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.