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Finding the Fourth Proportional to 9,233.64, 13,839.94 and 3,967.08

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Solution

The fourth proportional to 9,233.64, 13,839.94 and 3,967.08 is: 5,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.64 : 13,839.94 = 3,967.08 : x
  2. Step 2: Convert to fraction form
    9,233.64/13,839.94 = 3,967.08/x
  3. Step 3: Cross multiply
    9,233.64x = 13,839.94 × 3,967.08
  4. Step 4: Simplify right side
    9,233.64x = 54,904,149.18
  5. Step 5: Solve for x
    x = 54,904,149.18/9,233.64
  6. Step 6: Final answer
    x = 5,946.10

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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.