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Finding the Fourth Proportional to 6,361.86, 9,496.44 and 5,892.83

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Solution

The fourth proportional to 6,361.86, 9,496.44 and 5,892.83 is: 8,796.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.86 : 9,496.44 = 5,892.83 : x
  2. Step 2: Convert to fraction form
    6,361.86/9,496.44 = 5,892.83/x
  3. Step 3: Cross multiply
    6,361.86x = 9,496.44 × 5,892.83
  4. Step 4: Simplify right side
    6,361.86x = 55,960,948.07
  5. Step 5: Solve for x
    x = 55,960,948.07/6,361.86
  6. Step 6: Final answer
    x = 8,796.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.