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Finding the Fourth Proportional to 9,614.96, 14,413.85 and 5,175

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Solution

The fourth proportional to 9,614.96, 14,413.85 and 5,175 is: 7,757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.96 : 14,413.85 = 5,175 : x
  2. Step 2: Convert to fraction form
    9,614.96/14,413.85 = 5,175/x
  3. Step 3: Cross multiply
    9,614.96x = 14,413.85 × 5,175
  4. Step 4: Simplify right side
    9,614.96x = 74,591,647.88
  5. Step 5: Solve for x
    x = 74,591,647.88/9,614.96
  6. Step 6: Final answer
    x = 7,757.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.