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Finding the Fourth Proportional to 9,399.98, 12,977.01 and 6,000.41

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Solution

The fourth proportional to 9,399.98, 12,977.01 and 6,000.41 is: 8,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.98 : 12,977.01 = 6,000.41 : x
  2. Step 2: Convert to fraction form
    9,399.98/12,977.01 = 6,000.41/x
  3. Step 3: Cross multiply
    9,399.98x = 12,977.01 × 6,000.41
  4. Step 4: Simplify right side
    9,399.98x = 77,867,413.02
  5. Step 5: Solve for x
    x = 77,867,413.02/9,399.98
  6. Step 6: Final answer
    x = 8,283.78

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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.