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Finding the Fourth Proportional to 9,194.32, 13,791.48 and 5,497.60

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Solution

The fourth proportional to 9,194.32, 13,791.48 and 5,497.60 is: 8,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.32 : 13,791.48 = 5,497.60 : x
  2. Step 2: Convert to fraction form
    9,194.32/13,791.48 = 5,497.60/x
  3. Step 3: Cross multiply
    9,194.32x = 13,791.48 × 5,497.60
  4. Step 4: Simplify right side
    9,194.32x = 75,820,040.45
  5. Step 5: Solve for x
    x = 75,820,040.45/9,194.32
  6. Step 6: Final answer
    x = 8,246.40

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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.