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Finding the Fourth Proportional to 9,591.09, 13,234.86 and 5,342.42

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Solution

The fourth proportional to 9,591.09, 13,234.86 and 5,342.42 is: 7,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.09 : 13,234.86 = 5,342.42 : x
  2. Step 2: Convert to fraction form
    9,591.09/13,234.86 = 5,342.42/x
  3. Step 3: Cross multiply
    9,591.09x = 13,234.86 × 5,342.42
  4. Step 4: Simplify right side
    9,591.09x = 70,706,114.59
  5. Step 5: Solve for x
    x = 70,706,114.59/9,591.09
  6. Step 6: Final answer
    x = 7,372.06

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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.