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Finding the Fourth Proportional to 9,395.46, 14,084.04 and 5,231.64

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Solution

The fourth proportional to 9,395.46, 14,084.04 and 5,231.64 is: 7,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.46 : 14,084.04 = 5,231.64 : x
  2. Step 2: Convert to fraction form
    9,395.46/14,084.04 = 5,231.64/x
  3. Step 3: Cross multiply
    9,395.46x = 14,084.04 × 5,231.64
  4. Step 4: Simplify right side
    9,395.46x = 73,682,627.03
  5. Step 5: Solve for x
    x = 73,682,627.03/9,395.46
  6. Step 6: Final answer
    x = 7,842.37

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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.