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Finding the Fourth Proportional to 9,131.59, 13,697.37 and 2,206.09

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Solution

The fourth proportional to 9,131.59, 13,697.37 and 2,206.09 is: 3,309.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.59 : 13,697.37 = 2,206.09 : x
  2. Step 2: Convert to fraction form
    9,131.59/13,697.37 = 2,206.09/x
  3. Step 3: Cross multiply
    9,131.59x = 13,697.37 × 2,206.09
  4. Step 4: Simplify right side
    9,131.59x = 30,217,630.98
  5. Step 5: Solve for x
    x = 30,217,630.98/9,131.59
  6. Step 6: Final answer
    x = 3,309.13

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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.