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Finding the Fourth Proportional to 9,813.25, 13,542.64 and 5,622.31

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Solution

The fourth proportional to 9,813.25, 13,542.64 and 5,622.31 is: 7,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.25 : 13,542.64 = 5,622.31 : x
  2. Step 2: Convert to fraction form
    9,813.25/13,542.64 = 5,622.31/x
  3. Step 3: Cross multiply
    9,813.25x = 13,542.64 × 5,622.31
  4. Step 4: Simplify right side
    9,813.25x = 76,140,954.80
  5. Step 5: Solve for x
    x = 76,140,954.80/9,813.25
  6. Step 6: Final answer
    x = 7,758.99

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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.