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Finding the Fourth Proportional to 9,834.39, 13,571.43 and 5,643.99

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Solution

The fourth proportional to 9,834.39, 13,571.43 and 5,643.99 is: 7,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.39 : 13,571.43 = 5,643.99 : x
  2. Step 2: Convert to fraction form
    9,834.39/13,571.43 = 5,643.99/x
  3. Step 3: Cross multiply
    9,834.39x = 13,571.43 × 5,643.99
  4. Step 4: Simplify right side
    9,834.39x = 76,597,015.21
  5. Step 5: Solve for x
    x = 76,597,015.21/9,834.39
  6. Step 6: Final answer
    x = 7,788.69

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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.