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Finding the Fourth Proportional to 9,662.40, 14,469.82 and 4,716.09

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Solution

The fourth proportional to 9,662.40, 14,469.82 and 4,716.09 is: 7,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.40 : 14,469.82 = 4,716.09 : x
  2. Step 2: Convert to fraction form
    9,662.40/14,469.82 = 4,716.09/x
  3. Step 3: Cross multiply
    9,662.40x = 14,469.82 × 4,716.09
  4. Step 4: Simplify right side
    9,662.40x = 68,240,973.40
  5. Step 5: Solve for x
    x = 68,240,973.40/9,662.40
  6. Step 6: Final answer
    x = 7,062.53

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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.