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Finding the Fourth Proportional to 6,848.36, 9,450.78 and 3,704.54

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Solution

The fourth proportional to 6,848.36, 9,450.78 and 3,704.54 is: 5,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.36 : 9,450.78 = 3,704.54 : x
  2. Step 2: Convert to fraction form
    6,848.36/9,450.78 = 3,704.54/x
  3. Step 3: Cross multiply
    6,848.36x = 9,450.78 × 3,704.54
  4. Step 4: Simplify right side
    6,848.36x = 35,010,792.54
  5. Step 5: Solve for x
    x = 35,010,792.54/6,848.36
  6. Step 6: Final answer
    x = 5,112.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.