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Finding the Fourth Proportional to 9,813.69, 13,542.34 and 5,622.21

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Solution

The fourth proportional to 9,813.69, 13,542.34 and 5,622.21 is: 7,758.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.69 : 13,542.34 = 5,622.21 : x
  2. Step 2: Convert to fraction form
    9,813.69/13,542.34 = 5,622.21/x
  3. Step 3: Cross multiply
    9,813.69x = 13,542.34 × 5,622.21
  4. Step 4: Simplify right side
    9,813.69x = 76,137,879.37
  5. Step 5: Solve for x
    x = 76,137,879.37/9,813.69
  6. Step 6: Final answer
    x = 7,758.33

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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.