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Finding the Fourth Proportional to 6,784.01, 9,367.34 and 4,517.56

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Solution

The fourth proportional to 6,784.01, 9,367.34 and 4,517.56 is: 6,237.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.01 : 9,367.34 = 4,517.56 : x
  2. Step 2: Convert to fraction form
    6,784.01/9,367.34 = 4,517.56/x
  3. Step 3: Cross multiply
    6,784.01x = 9,367.34 × 4,517.56
  4. Step 4: Simplify right side
    6,784.01x = 42,317,520.49
  5. Step 5: Solve for x
    x = 42,317,520.49/6,784.01
  6. Step 6: Final answer
    x = 6,237.83

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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.