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Finding the Fourth Proportional to 9,266.35, 13,906.83 and 3,424.63

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Solution

The fourth proportional to 9,266.35, 13,906.83 and 3,424.63 is: 5,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.35 : 13,906.83 = 3,424.63 : x
  2. Step 2: Convert to fraction form
    9,266.35/13,906.83 = 3,424.63/x
  3. Step 3: Cross multiply
    9,266.35x = 13,906.83 × 3,424.63
  4. Step 4: Simplify right side
    9,266.35x = 47,625,747.22
  5. Step 5: Solve for x
    x = 47,625,747.22/9,266.35
  6. Step 6: Final answer
    x = 5,139.64

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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.