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Finding the Fourth Proportional to 9,151.59, 13,727.40 and 2,226.09

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Solution

The fourth proportional to 9,151.59, 13,727.40 and 2,226.09 is: 3,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.59 : 13,727.40 = 2,226.09 : x
  2. Step 2: Convert to fraction form
    9,151.59/13,727.40 = 2,226.09/x
  3. Step 3: Cross multiply
    9,151.59x = 13,727.40 × 2,226.09
  4. Step 4: Simplify right side
    9,151.59x = 30,558,427.87
  5. Step 5: Solve for x
    x = 30,558,427.87/9,151.59
  6. Step 6: Final answer
    x = 3,339.14

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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.