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Finding the Fourth Proportional to 9,209.02, 13,813.63 and 7,371.81

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Solution

The fourth proportional to 9,209.02, 13,813.63 and 7,371.81 is: 11,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.02 : 13,813.63 = 7,371.81 : x
  2. Step 2: Convert to fraction form
    9,209.02/13,813.63 = 7,371.81/x
  3. Step 3: Cross multiply
    9,209.02x = 13,813.63 × 7,371.81
  4. Step 4: Simplify right side
    9,209.02x = 101,831,511.60
  5. Step 5: Solve for x
    x = 101,831,511.60/9,209.02
  6. Step 6: Final answer
    x = 11,057.80

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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.