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Finding the Fourth Proportional to 9,660.85, 14,493.35 and 2,997.21

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Solution

The fourth proportional to 9,660.85, 14,493.35 and 2,997.21 is: 4,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.85 : 14,493.35 = 2,997.21 : x
  2. Step 2: Convert to fraction form
    9,660.85/14,493.35 = 2,997.21/x
  3. Step 3: Cross multiply
    9,660.85x = 14,493.35 × 2,997.21
  4. Step 4: Simplify right side
    9,660.85x = 43,439,675.40
  5. Step 5: Solve for x
    x = 43,439,675.40/9,660.85
  6. Step 6: Final answer
    x = 4,496.47

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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.