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Finding the Fourth Proportional to 9,193.64, 13,790.47 and 2,268.14

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Solution

The fourth proportional to 9,193.64, 13,790.47 and 2,268.14 is: 3,402.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.64 : 13,790.47 = 2,268.14 : x
  2. Step 2: Convert to fraction form
    9,193.64/13,790.47 = 2,268.14/x
  3. Step 3: Cross multiply
    9,193.64x = 13,790.47 × 2,268.14
  4. Step 4: Simplify right side
    9,193.64x = 31,278,745.43
  5. Step 5: Solve for x
    x = 31,278,745.43/9,193.64
  6. Step 6: Final answer
    x = 3,402.21

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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.