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Finding the Fourth Proportional to 9,651.23, 14,469.12 and 6,340.09

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Solution

The fourth proportional to 9,651.23, 14,469.12 and 6,340.09 is: 9,505.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.23 : 14,469.12 = 6,340.09 : x
  2. Step 2: Convert to fraction form
    9,651.23/14,469.12 = 6,340.09/x
  3. Step 3: Cross multiply
    9,651.23x = 14,469.12 × 6,340.09
  4. Step 4: Simplify right side
    9,651.23x = 91,735,486.85
  5. Step 5: Solve for x
    x = 91,735,486.85/9,651.23
  6. Step 6: Final answer
    x = 9,505.05

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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.