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Finding the Fourth Proportional to 9,226.72, 13,843.38 and 4,033

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Solution

The fourth proportional to 9,226.72, 13,843.38 and 4,033 is: 6,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.72 : 13,843.38 = 4,033 : x
  2. Step 2: Convert to fraction form
    9,226.72/13,843.38 = 4,033/x
  3. Step 3: Cross multiply
    9,226.72x = 13,843.38 × 4,033
  4. Step 4: Simplify right side
    9,226.72x = 55,830,351.54
  5. Step 5: Solve for x
    x = 55,830,351.54/9,226.72
  6. Step 6: Final answer
    x = 6,050.94

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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.