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Finding the Fourth Proportional to 9,176.62, 13,722.89 and 6,838.25

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Solution

The fourth proportional to 9,176.62, 13,722.89 and 6,838.25 is: 10,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.62 : 13,722.89 = 6,838.25 : x
  2. Step 2: Convert to fraction form
    9,176.62/13,722.89 = 6,838.25/x
  3. Step 3: Cross multiply
    9,176.62x = 13,722.89 × 6,838.25
  4. Step 4: Simplify right side
    9,176.62x = 93,840,546.03
  5. Step 5: Solve for x
    x = 93,840,546.03/9,176.62
  6. Step 6: Final answer
    x = 10,226.05

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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.