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Finding the Fourth Proportional to 9,093.68, 13,640.80 and 3,546.80

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Solution

The fourth proportional to 9,093.68, 13,640.80 and 3,546.80 is: 5,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,093.68 : 13,640.80 = 3,546.80 : x
  2. Step 2: Convert to fraction form
    9,093.68/13,640.80 = 3,546.80/x
  3. Step 3: Cross multiply
    9,093.68x = 13,640.80 × 3,546.80
  4. Step 4: Simplify right side
    9,093.68x = 48,381,171.71
  5. Step 5: Solve for x
    x = 48,381,171.71/9,093.68
  6. Step 6: Final answer
    x = 5,320.31

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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.