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Finding the Fourth Proportional to 6,414.01, 9,622.67 and 5,715.99

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Solution

The fourth proportional to 6,414.01, 9,622.67 and 5,715.99 is: 8,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.01 : 9,622.67 = 5,715.99 : x
  2. Step 2: Convert to fraction form
    6,414.01/9,622.67 = 5,715.99/x
  3. Step 3: Cross multiply
    6,414.01x = 9,622.67 × 5,715.99
  4. Step 4: Simplify right side
    6,414.01x = 55,003,056.91
  5. Step 5: Solve for x
    x = 55,003,056.91/6,414.01
  6. Step 6: Final answer
    x = 8,575.46

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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.