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Finding the Fourth Proportional to 9,168.67, 13,725.91 and 6,838.89

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Solution

The fourth proportional to 9,168.67, 13,725.91 and 6,838.89 is: 10,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,168.67 : 13,725.91 = 6,838.89 : x
  2. Step 2: Convert to fraction form
    9,168.67/13,725.91 = 6,838.89/x
  3. Step 3: Cross multiply
    9,168.67x = 13,725.91 × 6,838.89
  4. Step 4: Simplify right side
    9,168.67x = 93,869,988.64
  5. Step 5: Solve for x
    x = 93,869,988.64/9,168.67
  6. Step 6: Final answer
    x = 10,238.12

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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.