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Finding the Fourth Proportional to 9,209.96, 13,813.53 and 2,969.12

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Solution

The fourth proportional to 9,209.96, 13,813.53 and 2,969.12 is: 4,453.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.96 : 13,813.53 = 2,969.12 : x
  2. Step 2: Convert to fraction form
    9,209.96/13,813.53 = 2,969.12/x
  3. Step 3: Cross multiply
    9,209.96x = 13,813.53 × 2,969.12
  4. Step 4: Simplify right side
    9,209.96x = 41,014,028.19
  5. Step 5: Solve for x
    x = 41,014,028.19/9,209.96
  6. Step 6: Final answer
    x = 4,453.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.