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Finding the Fourth Proportional to 6,083.63, 8,396.63 and 3,431.09

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Solution

The fourth proportional to 6,083.63, 8,396.63 and 3,431.09 is: 4,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.63 : 8,396.63 = 3,431.09 : x
  2. Step 2: Convert to fraction form
    6,083.63/8,396.63 = 3,431.09/x
  3. Step 3: Cross multiply
    6,083.63x = 8,396.63 × 3,431.09
  4. Step 4: Simplify right side
    6,083.63x = 28,809,534.09
  5. Step 5: Solve for x
    x = 28,809,534.09/6,083.63
  6. Step 6: Final answer
    x = 4,735.59

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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.