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Finding the Fourth Proportional to 36,930.25, 55,395.38 and 9,228.25

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Solution

The fourth proportional to 36,930.25, 55,395.38 and 9,228.25 is: 13,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930.25 : 55,395.38 = 9,228.25 : x
  2. Step 2: Convert to fraction form
    36,930.25/55,395.38 = 9,228.25/x
  3. Step 3: Cross multiply
    36,930.25x = 55,395.38 × 9,228.25
  4. Step 4: Simplify right side
    36,930.25x = 511,202,369.34
  5. Step 5: Solve for x
    x = 511,202,369.34/36,930.25
  6. Step 6: Final answer
    x = 13,842.38

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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.