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Finding the Fourth Proportional to 9,089.73, 13,628.91 and 3,165.21

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Solution

The fourth proportional to 9,089.73, 13,628.91 and 3,165.21 is: 4,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.73 : 13,628.91 = 3,165.21 : x
  2. Step 2: Convert to fraction form
    9,089.73/13,628.91 = 3,165.21/x
  3. Step 3: Cross multiply
    9,089.73x = 13,628.91 × 3,165.21
  4. Step 4: Simplify right side
    9,089.73x = 43,138,362.22
  5. Step 5: Solve for x
    x = 43,138,362.22/9,089.73
  6. Step 6: Final answer
    x = 4,745.84

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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.