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Finding the Fourth Proportional to 9,239.64, 13,850.34 and 3,689.64

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Solution

The fourth proportional to 9,239.64, 13,850.34 and 3,689.64 is: 5,530.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.64 : 13,850.34 = 3,689.64 : x
  2. Step 2: Convert to fraction form
    9,239.64/13,850.34 = 3,689.64/x
  3. Step 3: Cross multiply
    9,239.64x = 13,850.34 × 3,689.64
  4. Step 4: Simplify right side
    9,239.64x = 51,102,768.48
  5. Step 5: Solve for x
    x = 51,102,768.48/9,239.64
  6. Step 6: Final answer
    x = 5,530.82

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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.