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Finding the Fourth Proportional to 9,813.27, 13,542.12 and 5,564.22

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Solution

The fourth proportional to 9,813.27, 13,542.12 and 5,564.22 is: 7,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.27 : 13,542.12 = 5,564.22 : x
  2. Step 2: Convert to fraction form
    9,813.27/13,542.12 = 5,564.22/x
  3. Step 3: Cross multiply
    9,813.27x = 13,542.12 × 5,564.22
  4. Step 4: Simplify right side
    9,813.27x = 75,351,334.95
  5. Step 5: Solve for x
    x = 75,351,334.95/9,813.27
  6. Step 6: Final answer
    x = 7,678.51

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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.