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Finding the Fourth Proportional to 9,662.56, 14,493.98 and 2,737.06

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Solution

The fourth proportional to 9,662.56, 14,493.98 and 2,737.06 is: 4,105.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.56 : 14,493.98 = 2,737.06 : x
  2. Step 2: Convert to fraction form
    9,662.56/14,493.98 = 2,737.06/x
  3. Step 3: Cross multiply
    9,662.56x = 14,493.98 × 2,737.06
  4. Step 4: Simplify right side
    9,662.56x = 39,670,892.90
  5. Step 5: Solve for x
    x = 39,670,892.90/9,662.56
  6. Step 6: Final answer
    x = 4,105.63

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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.