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Finding the Fourth Proportional to 9,633.92, 14,453.60 and 3,395.50

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Solution

The fourth proportional to 9,633.92, 14,453.60 and 3,395.50 is: 5,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.92 : 14,453.60 = 3,395.50 : x
  2. Step 2: Convert to fraction form
    9,633.92/14,453.60 = 3,395.50/x
  3. Step 3: Cross multiply
    9,633.92x = 14,453.60 × 3,395.50
  4. Step 4: Simplify right side
    9,633.92x = 49,077,198.80
  5. Step 5: Solve for x
    x = 49,077,198.80/9,633.92
  6. Step 6: Final answer
    x = 5,094.21

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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.