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Finding the Fourth Proportional to 9,267.42, 13,900.12 and 3,344.09

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Solution

The fourth proportional to 9,267.42, 13,900.12 and 3,344.09 is: 5,015.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,267.42 : 13,900.12 = 3,344.09 : x
  2. Step 2: Convert to fraction form
    9,267.42/13,900.12 = 3,344.09/x
  3. Step 3: Cross multiply
    9,267.42x = 13,900.12 × 3,344.09
  4. Step 4: Simplify right side
    9,267.42x = 46,483,278.68
  5. Step 5: Solve for x
    x = 46,483,278.68/9,267.42
  6. Step 6: Final answer
    x = 5,015.77

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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.