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Finding the Fourth Proportional to 9,035.78, 13,551.23 and 3,191.63

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Solution

The fourth proportional to 9,035.78, 13,551.23 and 3,191.63 is: 4,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,035.78 : 13,551.23 = 3,191.63 : x
  2. Step 2: Convert to fraction form
    9,035.78/13,551.23 = 3,191.63/x
  3. Step 3: Cross multiply
    9,035.78x = 13,551.23 × 3,191.63
  4. Step 4: Simplify right side
    9,035.78x = 43,250,452.43
  5. Step 5: Solve for x
    x = 43,250,452.43/9,035.78
  6. Step 6: Final answer
    x = 4,786.58

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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.