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Finding the Fourth Proportional to 9,561.80, 13,194.66 and 5,369.96

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Solution

The fourth proportional to 9,561.80, 13,194.66 and 5,369.96 is: 7,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.80 : 13,194.66 = 5,369.96 : x
  2. Step 2: Convert to fraction form
    9,561.80/13,194.66 = 5,369.96/x
  3. Step 3: Cross multiply
    9,561.80x = 13,194.66 × 5,369.96
  4. Step 4: Simplify right side
    9,561.80x = 70,854,796.41
  5. Step 5: Solve for x
    x = 70,854,796.41/9,561.80
  6. Step 6: Final answer
    x = 7,410.19

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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.