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Finding the Fourth Proportional to 6,861.64, 9,469.06 and 3,717.80

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Solution

The fourth proportional to 6,861.64, 9,469.06 and 3,717.80 is: 5,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.64 : 9,469.06 = 3,717.80 : x
  2. Step 2: Convert to fraction form
    6,861.64/9,469.06 = 3,717.80/x
  3. Step 3: Cross multiply
    6,861.64x = 9,469.06 × 3,717.80
  4. Step 4: Simplify right side
    6,861.64x = 35,204,071.27
  5. Step 5: Solve for x
    x = 35,204,071.27/6,861.64
  6. Step 6: Final answer
    x = 5,130.56

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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.