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Finding the Fourth Proportional to 6,861.86, 9,469.38 and 3,718.05

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Solution

The fourth proportional to 6,861.86, 9,469.38 and 3,718.05 is: 5,130.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.86 : 9,469.38 = 3,718.05 : x
  2. Step 2: Convert to fraction form
    6,861.86/9,469.38 = 3,718.05/x
  3. Step 3: Cross multiply
    6,861.86x = 9,469.38 × 3,718.05
  4. Step 4: Simplify right side
    6,861.86x = 35,207,597.88
  5. Step 5: Solve for x
    x = 35,207,597.88/6,861.86
  6. Step 6: Final answer
    x = 5,130.91

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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.