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Finding the Fourth Proportional to 9,563.25, 13,197.29 and 5,371.50

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Solution

The fourth proportional to 9,563.25, 13,197.29 and 5,371.50 is: 7,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.25 : 13,197.29 = 5,371.50 : x
  2. Step 2: Convert to fraction form
    9,563.25/13,197.29 = 5,371.50/x
  3. Step 3: Cross multiply
    9,563.25x = 13,197.29 × 5,371.50
  4. Step 4: Simplify right side
    9,563.25x = 70,889,243.24
  5. Step 5: Solve for x
    x = 70,889,243.24/9,563.25
  6. Step 6: Final answer
    x = 7,412.67

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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.