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Finding the Fourth Proportional to 9,201.85, 13,800.81 and 2,626.27

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Solution

The fourth proportional to 9,201.85, 13,800.81 and 2,626.27 is: 3,938.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.85 : 13,800.81 = 2,626.27 : x
  2. Step 2: Convert to fraction form
    9,201.85/13,800.81 = 2,626.27/x
  3. Step 3: Cross multiply
    9,201.85x = 13,800.81 × 2,626.27
  4. Step 4: Simplify right side
    9,201.85x = 36,244,653.28
  5. Step 5: Solve for x
    x = 36,244,653.28/9,201.85
  6. Step 6: Final answer
    x = 3,938.84

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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.