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Finding the Fourth Proportional to 9,151.88, 13,727.82 and 2,226.36

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Solution

The fourth proportional to 9,151.88, 13,727.82 and 2,226.36 is: 3,339.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.88 : 13,727.82 = 2,226.36 : x
  2. Step 2: Convert to fraction form
    9,151.88/13,727.82 = 2,226.36/x
  3. Step 3: Cross multiply
    9,151.88x = 13,727.82 × 2,226.36
  4. Step 4: Simplify right side
    9,151.88x = 30,563,069.34
  5. Step 5: Solve for x
    x = 30,563,069.34/9,151.88
  6. Step 6: Final answer
    x = 3,339.54

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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.