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Finding the Fourth Proportional to 6,092.83, 8,394.73 and 4,099.92

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Solution

The fourth proportional to 6,092.83, 8,394.73 and 4,099.92 is: 5,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.83 : 8,394.73 = 4,099.92 : x
  2. Step 2: Convert to fraction form
    6,092.83/8,394.73 = 4,099.92/x
  3. Step 3: Cross multiply
    6,092.83x = 8,394.73 × 4,099.92
  4. Step 4: Simplify right side
    6,092.83x = 34,417,742.41
  5. Step 5: Solve for x
    x = 34,417,742.41/6,092.83
  6. Step 6: Final answer
    x = 5,648.90

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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.