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Finding the Fourth Proportional to 6,135.36, 9,189.48 and 4,738.56

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Solution

The fourth proportional to 6,135.36, 9,189.48 and 4,738.56 is: 7,097.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.36 : 9,189.48 = 4,738.56 : x
  2. Step 2: Convert to fraction form
    6,135.36/9,189.48 = 4,738.56/x
  3. Step 3: Cross multiply
    6,135.36x = 9,189.48 × 4,738.56
  4. Step 4: Simplify right side
    6,135.36x = 43,544,902.35
  5. Step 5: Solve for x
    x = 43,544,902.35/6,135.36
  6. Step 6: Final answer
    x = 7,097.37

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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.