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Finding the Fourth Proportional to 6,196.27, 8,550.28 and 3,677.94

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Solution

The fourth proportional to 6,196.27, 8,550.28 and 3,677.94 is: 5,075.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.27 : 8,550.28 = 3,677.94 : x
  2. Step 2: Convert to fraction form
    6,196.27/8,550.28 = 3,677.94/x
  3. Step 3: Cross multiply
    6,196.27x = 8,550.28 × 3,677.94
  4. Step 4: Simplify right side
    6,196.27x = 31,447,416.82
  5. Step 5: Solve for x
    x = 31,447,416.82/6,196.27
  6. Step 6: Final answer
    x = 5,075.22

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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.