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Finding the Fourth Proportional to 9,191.82, 13,770.45 and 4,563.66

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Solution

The fourth proportional to 9,191.82, 13,770.45 and 4,563.66 is: 6,836.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.82 : 13,770.45 = 4,563.66 : x
  2. Step 2: Convert to fraction form
    9,191.82/13,770.45 = 4,563.66/x
  3. Step 3: Cross multiply
    9,191.82x = 13,770.45 × 4,563.66
  4. Step 4: Simplify right side
    9,191.82x = 62,843,651.85
  5. Step 5: Solve for x
    x = 62,843,651.85/9,191.82
  6. Step 6: Final answer
    x = 6,836.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.