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Finding the Fourth Proportional to 9,662.30, 14,493.82 and 2,999.49

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Solution

The fourth proportional to 9,662.30, 14,493.82 and 2,999.49 is: 4,499.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.30 : 14,493.82 = 2,999.49 : x
  2. Step 2: Convert to fraction form
    9,662.30/14,493.82 = 2,999.49/x
  3. Step 3: Cross multiply
    9,662.30x = 14,493.82 × 2,999.49
  4. Step 4: Simplify right side
    9,662.30x = 43,473,995.68
  5. Step 5: Solve for x
    x = 43,473,995.68/9,662.30
  6. Step 6: Final answer
    x = 4,499.34

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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.