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Finding the Fourth Proportional to 9,694.62, 14,538.15 and 4,150.62

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Solution

The fourth proportional to 9,694.62, 14,538.15 and 4,150.62 is: 6,224.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.62 : 14,538.15 = 4,150.62 : x
  2. Step 2: Convert to fraction form
    9,694.62/14,538.15 = 4,150.62/x
  3. Step 3: Cross multiply
    9,694.62x = 14,538.15 × 4,150.62
  4. Step 4: Simplify right side
    9,694.62x = 60,342,336.15
  5. Step 5: Solve for x
    x = 60,342,336.15/9,694.62
  6. Step 6: Final answer
    x = 6,224.31

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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.