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Finding the Fourth Proportional to 9,131.57, 13,697.44 and 3,208.21

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Solution

The fourth proportional to 9,131.57, 13,697.44 and 3,208.21 is: 4,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.57 : 13,697.44 = 3,208.21 : x
  2. Step 2: Convert to fraction form
    9,131.57/13,697.44 = 3,208.21/x
  3. Step 3: Cross multiply
    9,131.57x = 13,697.44 × 3,208.21
  4. Step 4: Simplify right side
    9,131.57x = 43,944,221.72
  5. Step 5: Solve for x
    x = 43,944,221.72/9,131.57
  6. Step 6: Final answer
    x = 4,812.34

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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.