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Finding the Fourth Proportional to 9,560.96, 13,194.42 and 5,369.30

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Solution

The fourth proportional to 9,560.96, 13,194.42 and 5,369.30 is: 7,409.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.96 : 13,194.42 = 5,369.30 : x
  2. Step 2: Convert to fraction form
    9,560.96/13,194.42 = 5,369.30/x
  3. Step 3: Cross multiply
    9,560.96x = 13,194.42 × 5,369.30
  4. Step 4: Simplify right side
    9,560.96x = 70,844,799.31
  5. Step 5: Solve for x
    x = 70,844,799.31/9,560.96
  6. Step 6: Final answer
    x = 7,409.80

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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.