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Finding the Fourth Proportional to 6,202.46, 9,282.90 and 5,091.82

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Solution

The fourth proportional to 6,202.46, 9,282.90 and 5,091.82 is: 7,620.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.46 : 9,282.90 = 5,091.82 : x
  2. Step 2: Convert to fraction form
    6,202.46/9,282.90 = 5,091.82/x
  3. Step 3: Cross multiply
    6,202.46x = 9,282.90 × 5,091.82
  4. Step 4: Simplify right side
    6,202.46x = 47,266,832.67
  5. Step 5: Solve for x
    x = 47,266,832.67/6,202.46
  6. Step 6: Final answer
    x = 7,620.66

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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.