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Finding the Fourth Proportional to 9,261.85, 13,893.99 and 3,019.67

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Solution

The fourth proportional to 9,261.85, 13,893.99 and 3,019.67 is: 4,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.85 : 13,893.99 = 3,019.67 : x
  2. Step 2: Convert to fraction form
    9,261.85/13,893.99 = 3,019.67/x
  3. Step 3: Cross multiply
    9,261.85x = 13,893.99 × 3,019.67
  4. Step 4: Simplify right side
    9,261.85x = 41,955,249.68
  5. Step 5: Solve for x
    x = 41,955,249.68/9,261.85
  6. Step 6: Final answer
    x = 4,529.90

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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.