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Finding the Fourth Proportional to 9,812.22, 13,540.57 and 5,563.67

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Solution

The fourth proportional to 9,812.22, 13,540.57 and 5,563.67 is: 7,677.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.22 : 13,540.57 = 5,563.67 : x
  2. Step 2: Convert to fraction form
    9,812.22/13,540.57 = 5,563.67/x
  3. Step 3: Cross multiply
    9,812.22x = 13,540.57 × 5,563.67
  4. Step 4: Simplify right side
    9,812.22x = 75,335,235.27
  5. Step 5: Solve for x
    x = 75,335,235.27/9,812.22
  6. Step 6: Final answer
    x = 7,677.70

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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.