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Finding the Fourth Proportional to 6,907, 9,531.84 and 3,922.72

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Solution

The fourth proportional to 6,907, 9,531.84 and 3,922.72 is: 5,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907 : 9,531.84 = 3,922.72 : x
  2. Step 2: Convert to fraction form
    6,907/9,531.84 = 3,922.72/x
  3. Step 3: Cross multiply
    6,907x = 9,531.84 × 3,922.72
  4. Step 4: Simplify right side
    6,907x = 37,390,739.40
  5. Step 5: Solve for x
    x = 37,390,739.40/6,907
  6. Step 6: Final answer
    x = 5,413.46

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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.