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Finding the Fourth Proportional to 9,190.68, 13,780.09 and 3,929.12

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Solution

The fourth proportional to 9,190.68, 13,780.09 and 3,929.12 is: 5,891.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.68 : 13,780.09 = 3,929.12 : x
  2. Step 2: Convert to fraction form
    9,190.68/13,780.09 = 3,929.12/x
  3. Step 3: Cross multiply
    9,190.68x = 13,780.09 × 3,929.12
  4. Step 4: Simplify right side
    9,190.68x = 54,143,627.22
  5. Step 5: Solve for x
    x = 54,143,627.22/9,190.68
  6. Step 6: Final answer
    x = 5,891.14

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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.