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Finding the Fourth Proportional to 6,192.42, 8,539.83 and 4,205.94

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Solution

The fourth proportional to 6,192.42, 8,539.83 and 4,205.94 is: 5,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,192.42 : 8,539.83 = 4,205.94 : x
  2. Step 2: Convert to fraction form
    6,192.42/8,539.83 = 4,205.94/x
  3. Step 3: Cross multiply
    6,192.42x = 8,539.83 × 4,205.94
  4. Step 4: Simplify right side
    6,192.42x = 35,918,012.59
  5. Step 5: Solve for x
    x = 35,918,012.59/6,192.42
  6. Step 6: Final answer
    x = 5,800.32

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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.