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Finding the Fourth Proportional to 9,194.26, 13,794.01 and 4,515.62

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Solution

The fourth proportional to 9,194.26, 13,794.01 and 4,515.62 is: 6,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.26 : 13,794.01 = 4,515.62 : x
  2. Step 2: Convert to fraction form
    9,194.26/13,794.01 = 4,515.62/x
  3. Step 3: Cross multiply
    9,194.26x = 13,794.01 × 4,515.62
  4. Step 4: Simplify right side
    9,194.26x = 62,288,507.44
  5. Step 5: Solve for x
    x = 62,288,507.44/9,194.26
  6. Step 6: Final answer
    x = 6,774.72

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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.