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Finding the Fourth Proportional to 9,194.67, 13,796.55 and 3,647.88

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Solution

The fourth proportional to 9,194.67, 13,796.55 and 3,647.88 is: 5,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.67 : 13,796.55 = 3,647.88 : x
  2. Step 2: Convert to fraction form
    9,194.67/13,796.55 = 3,647.88/x
  3. Step 3: Cross multiply
    9,194.67x = 13,796.55 × 3,647.88
  4. Step 4: Simplify right side
    9,194.67x = 50,328,158.81
  5. Step 5: Solve for x
    x = 50,328,158.81/9,194.67
  6. Step 6: Final answer
    x = 5,473.62

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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.