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Finding the Fourth Proportional to 9,847.98, 13,590.36 and 5,371.83

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Solution

The fourth proportional to 9,847.98, 13,590.36 and 5,371.83 is: 7,413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.98 : 13,590.36 = 5,371.83 : x
  2. Step 2: Convert to fraction form
    9,847.98/13,590.36 = 5,371.83/x
  3. Step 3: Cross multiply
    9,847.98x = 13,590.36 × 5,371.83
  4. Step 4: Simplify right side
    9,847.98x = 73,005,103.56
  5. Step 5: Solve for x
    x = 73,005,103.56/9,847.98
  6. Step 6: Final answer
    x = 7,413.21

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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.