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Finding the Fourth Proportional to 6,412.72, 9,620.16 and 2,463.72

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Solution

The fourth proportional to 6,412.72, 9,620.16 and 2,463.72 is: 3,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.72 : 9,620.16 = 2,463.72 : x
  2. Step 2: Convert to fraction form
    6,412.72/9,620.16 = 2,463.72/x
  3. Step 3: Cross multiply
    6,412.72x = 9,620.16 × 2,463.72
  4. Step 4: Simplify right side
    6,412.72x = 23,701,380.60
  5. Step 5: Solve for x
    x = 23,701,380.60/6,412.72
  6. Step 6: Final answer
    x = 3,695.99

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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.