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Finding the Fourth Proportional to 6,431.50, 8,869.38 and 4,195.09

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Solution

The fourth proportional to 6,431.50, 8,869.38 and 4,195.09 is: 5,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.50 : 8,869.38 = 4,195.09 : x
  2. Step 2: Convert to fraction form
    6,431.50/8,869.38 = 4,195.09/x
  3. Step 3: Cross multiply
    6,431.50x = 8,869.38 × 4,195.09
  4. Step 4: Simplify right side
    6,431.50x = 37,207,847.34
  5. Step 5: Solve for x
    x = 37,207,847.34/6,431.50
  6. Step 6: Final answer
    x = 5,785.25

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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.