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Finding the Fourth Proportional to 9,834.32, 13,571.42 and 5,357.97

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Solution

The fourth proportional to 9,834.32, 13,571.42 and 5,357.97 is: 7,394.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.32 : 13,571.42 = 5,357.97 : x
  2. Step 2: Convert to fraction form
    9,834.32/13,571.42 = 5,357.97/x
  3. Step 3: Cross multiply
    9,834.32x = 13,571.42 × 5,357.97
  4. Step 4: Simplify right side
    9,834.32x = 72,715,234.43
  5. Step 5: Solve for x
    x = 72,715,234.43/9,834.32
  6. Step 6: Final answer
    x = 7,394.03

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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.