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Finding the Fourth Proportional to 9,563.74, 13,197.96 and 5,371.99

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Solution

The fourth proportional to 9,563.74, 13,197.96 and 5,371.99 is: 7,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.74 : 13,197.96 = 5,371.99 : x
  2. Step 2: Convert to fraction form
    9,563.74/13,197.96 = 5,371.99/x
  3. Step 3: Cross multiply
    9,563.74x = 13,197.96 × 5,371.99
  4. Step 4: Simplify right side
    9,563.74x = 70,899,309.14
  5. Step 5: Solve for x
    x = 70,899,309.14/9,563.74
  6. Step 6: Final answer
    x = 7,413.35

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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.