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Finding the Fourth Proportional to 36,906.36, 55,359.75 and 9,204.36

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Solution

The fourth proportional to 36,906.36, 55,359.75 and 9,204.36 is: 13,806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,906.36 : 55,359.75 = 9,204.36 : x
  2. Step 2: Convert to fraction form
    36,906.36/55,359.75 = 9,204.36/x
  3. Step 3: Cross multiply
    36,906.36x = 55,359.75 × 9,204.36
  4. Step 4: Simplify right side
    36,906.36x = 509,551,068.51
  5. Step 5: Solve for x
    x = 509,551,068.51/36,906.36
  6. Step 6: Final answer
    x = 13,806.59

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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.