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Finding the Fourth Proportional to 6,301.89, 8,695.72 and 4,174.12

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Solution

The fourth proportional to 6,301.89, 8,695.72 and 4,174.12 is: 5,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.89 : 8,695.72 = 4,174.12 : x
  2. Step 2: Convert to fraction form
    6,301.89/8,695.72 = 4,174.12/x
  3. Step 3: Cross multiply
    6,301.89x = 8,695.72 × 4,174.12
  4. Step 4: Simplify right side
    6,301.89x = 36,296,914.42
  5. Step 5: Solve for x
    x = 36,296,914.42/6,301.89
  6. Step 6: Final answer
    x = 5,759.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.