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Finding the Fourth Proportional to 6,522.13, 8,996.70 and 4,165.44

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Solution

The fourth proportional to 6,522.13, 8,996.70 and 4,165.44 is: 5,745.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.13 : 8,996.70 = 4,165.44 : x
  2. Step 2: Convert to fraction form
    6,522.13/8,996.70 = 4,165.44/x
  3. Step 3: Cross multiply
    6,522.13x = 8,996.70 × 4,165.44
  4. Step 4: Simplify right side
    6,522.13x = 37,475,214.05
  5. Step 5: Solve for x
    x = 37,475,214.05/6,522.13
  6. Step 6: Final answer
    x = 5,745.86

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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.