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Finding the Fourth Proportional to 9,662.48, 14,493.79 and 2,642.34

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Solution

The fourth proportional to 9,662.48, 14,493.79 and 2,642.34 is: 3,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.48 : 14,493.79 = 2,642.34 : x
  2. Step 2: Convert to fraction form
    9,662.48/14,493.79 = 2,642.34/x
  3. Step 3: Cross multiply
    9,662.48x = 14,493.79 × 2,642.34
  4. Step 4: Simplify right side
    9,662.48x = 38,297,517.09
  5. Step 5: Solve for x
    x = 38,297,517.09/9,662.48
  6. Step 6: Final answer
    x = 3,963.53

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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.