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Finding the Fourth Proportional to 6,144.09, 8,476.44 and 3,782.13

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Solution

The fourth proportional to 6,144.09, 8,476.44 and 3,782.13 is: 5,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.09 : 8,476.44 = 3,782.13 : x
  2. Step 2: Convert to fraction form
    6,144.09/8,476.44 = 3,782.13/x
  3. Step 3: Cross multiply
    6,144.09x = 8,476.44 × 3,782.13
  4. Step 4: Simplify right side
    6,144.09x = 32,059,039.26
  5. Step 5: Solve for x
    x = 32,059,039.26/6,144.09
  6. Step 6: Final answer
    x = 5,217.86

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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.