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Finding the Fourth Proportional to 11,409.36, 17,114.49 and 9,201.25

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Solution

The fourth proportional to 11,409.36, 17,114.49 and 9,201.25 is: 13,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409.36 : 17,114.49 = 9,201.25 : x
  2. Step 2: Convert to fraction form
    11,409.36/17,114.49 = 9,201.25/x
  3. Step 3: Cross multiply
    11,409.36x = 17,114.49 × 9,201.25
  4. Step 4: Simplify right side
    11,409.36x = 157,474,626.24
  5. Step 5: Solve for x
    x = 157,474,626.24/11,409.36
  6. Step 6: Final answer
    x = 13,802.24

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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.