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Finding the Fourth Proportional to 9,561.34, 13,194.57 and 5,369.50

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Solution

The fourth proportional to 9,561.34, 13,194.57 and 5,369.50 is: 7,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.34 : 13,194.57 = 5,369.50 : x
  2. Step 2: Convert to fraction form
    9,561.34/13,194.57 = 5,369.50/x
  3. Step 3: Cross multiply
    9,561.34x = 13,194.57 × 5,369.50
  4. Step 4: Simplify right side
    9,561.34x = 70,848,243.62
  5. Step 5: Solve for x
    x = 70,848,243.62/9,561.34
  6. Step 6: Final answer
    x = 7,409.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.