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Finding the Fourth Proportional to 9,611.10, 14,420.82 and 5,163.59

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Solution

The fourth proportional to 9,611.10, 14,420.82 and 5,163.59 is: 7,747.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.10 : 14,420.82 = 5,163.59 : x
  2. Step 2: Convert to fraction form
    9,611.10/14,420.82 = 5,163.59/x
  3. Step 3: Cross multiply
    9,611.10x = 14,420.82 × 5,163.59
  4. Step 4: Simplify right side
    9,611.10x = 74,463,129.84
  5. Step 5: Solve for x
    x = 74,463,129.84/9,611.10
  6. Step 6: Final answer
    x = 7,747.62

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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.