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Finding the Fourth Proportional to 9,194.51, 13,791.83 and 2,269.01

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Solution

The fourth proportional to 9,194.51, 13,791.83 and 2,269.01 is: 3,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.51 : 13,791.83 = 2,269.01 : x
  2. Step 2: Convert to fraction form
    9,194.51/13,791.83 = 2,269.01/x
  3. Step 3: Cross multiply
    9,194.51x = 13,791.83 × 2,269.01
  4. Step 4: Simplify right side
    9,194.51x = 31,293,719.88
  5. Step 5: Solve for x
    x = 31,293,719.88/9,194.51
  6. Step 6: Final answer
    x = 3,403.52

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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.