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Finding the Fourth Proportional to 9,351.42, 12,904.78 and 5,372.44

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Solution

The fourth proportional to 9,351.42, 12,904.78 and 5,372.44 is: 7,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.42 : 12,904.78 = 5,372.44 : x
  2. Step 2: Convert to fraction form
    9,351.42/12,904.78 = 5,372.44/x
  3. Step 3: Cross multiply
    9,351.42x = 12,904.78 × 5,372.44
  4. Step 4: Simplify right side
    9,351.42x = 69,330,156.26
  5. Step 5: Solve for x
    x = 69,330,156.26/9,351.42
  6. Step 6: Final answer
    x = 7,413.86

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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.