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Finding the Fourth Proportional to 6,845.22, 9,446.49 and 4,191.66

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Solution

The fourth proportional to 6,845.22, 9,446.49 and 4,191.66 is: 5,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.22 : 9,446.49 = 4,191.66 : x
  2. Step 2: Convert to fraction form
    6,845.22/9,446.49 = 4,191.66/x
  3. Step 3: Cross multiply
    6,845.22x = 9,446.49 × 4,191.66
  4. Step 4: Simplify right side
    6,845.22x = 39,596,474.27
  5. Step 5: Solve for x
    x = 39,596,474.27/6,845.22
  6. Step 6: Final answer
    x = 5,784.54

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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.