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Finding the Fourth Proportional to 6,193.94, 8,546.94 and 3,675.15

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Solution

The fourth proportional to 6,193.94, 8,546.94 and 3,675.15 is: 5,071.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.94 : 8,546.94 = 3,675.15 : x
  2. Step 2: Convert to fraction form
    6,193.94/8,546.94 = 3,675.15/x
  3. Step 3: Cross multiply
    6,193.94x = 8,546.94 × 3,675.15
  4. Step 4: Simplify right side
    6,193.94x = 31,411,286.54
  5. Step 5: Solve for x
    x = 31,411,286.54/6,193.94
  6. Step 6: Final answer
    x = 5,071.30

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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.