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Finding the Fourth Proportional to 9,464.67, 14,192.24 and 5,517.20

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Solution

The fourth proportional to 9,464.67, 14,192.24 and 5,517.20 is: 8,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.67 : 14,192.24 = 5,517.20 : x
  2. Step 2: Convert to fraction form
    9,464.67/14,192.24 = 5,517.20/x
  3. Step 3: Cross multiply
    9,464.67x = 14,192.24 × 5,517.20
  4. Step 4: Simplify right side
    9,464.67x = 78,301,327.98
  5. Step 5: Solve for x
    x = 78,301,327.98/9,464.67
  6. Step 6: Final answer
    x = 8,273.01

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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.