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Finding the Fourth Proportional to 9,561.62, 13,193.60 and 5,369.06

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Solution

The fourth proportional to 9,561.62, 13,193.60 and 5,369.06 is: 7,408.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.62 : 13,193.60 = 5,369.06 : x
  2. Step 2: Convert to fraction form
    9,561.62/13,193.60 = 5,369.06/x
  3. Step 3: Cross multiply
    9,561.62x = 13,193.60 × 5,369.06
  4. Step 4: Simplify right side
    9,561.62x = 70,837,230.02
  5. Step 5: Solve for x
    x = 70,837,230.02/9,561.62
  6. Step 6: Final answer
    x = 7,408.50

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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.