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Finding the Fourth Proportional to 9,578.09, 14,366.94 and 5,223.26

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Solution

The fourth proportional to 9,578.09, 14,366.94 and 5,223.26 is: 7,834.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.09 : 14,366.94 = 5,223.26 : x
  2. Step 2: Convert to fraction form
    9,578.09/14,366.94 = 5,223.26/x
  3. Step 3: Cross multiply
    9,578.09x = 14,366.94 × 5,223.26
  4. Step 4: Simplify right side
    9,578.09x = 75,042,191.19
  5. Step 5: Solve for x
    x = 75,042,191.19/9,578.09
  6. Step 6: Final answer
    x = 7,834.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.