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Finding the Fourth Proportional to 9,232.93, 13,857.27 and 3,690.19

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Solution

The fourth proportional to 9,232.93, 13,857.27 and 3,690.19 is: 5,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.93 : 13,857.27 = 3,690.19 : x
  2. Step 2: Convert to fraction form
    9,232.93/13,857.27 = 3,690.19/x
  3. Step 3: Cross multiply
    9,232.93x = 13,857.27 × 3,690.19
  4. Step 4: Simplify right side
    9,232.93x = 51,135,959.18
  5. Step 5: Solve for x
    x = 51,135,959.18/9,232.93
  6. Step 6: Final answer
    x = 5,538.43

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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.