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Finding the Fourth Proportional to 6,847.89, 9,450.08 and 3,704.08

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Solution

The fourth proportional to 6,847.89, 9,450.08 and 3,704.08 is: 5,111.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.89 : 9,450.08 = 3,704.08 : x
  2. Step 2: Convert to fraction form
    6,847.89/9,450.08 = 3,704.08/x
  3. Step 3: Cross multiply
    6,847.89x = 9,450.08 × 3,704.08
  4. Step 4: Simplify right side
    6,847.89x = 35,003,837.96
  5. Step 5: Solve for x
    x = 35,003,837.96/6,847.89
  6. Step 6: Final answer
    x = 5,111.62

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Why These Related Problems?

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