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Finding the Fourth Proportional to 6,083.44, 9,129.30 and 2,188.24

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Solution

The fourth proportional to 6,083.44, 9,129.30 and 2,188.24 is: 3,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.44 : 9,129.30 = 2,188.24 : x
  2. Step 2: Convert to fraction form
    6,083.44/9,129.30 = 2,188.24/x
  3. Step 3: Cross multiply
    6,083.44x = 9,129.30 × 2,188.24
  4. Step 4: Simplify right side
    6,083.44x = 19,977,099.43
  5. Step 5: Solve for x
    x = 19,977,099.43/6,083.44
  6. Step 6: Final answer
    x = 3,283.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.