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Finding the Fourth Proportional to 9,614.59, 14,413.31 and 5,174.64

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Solution

The fourth proportional to 9,614.59, 14,413.31 and 5,174.64 is: 7,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.59 : 14,413.31 = 5,174.64 : x
  2. Step 2: Convert to fraction form
    9,614.59/14,413.31 = 5,174.64/x
  3. Step 3: Cross multiply
    9,614.59x = 14,413.31 × 5,174.64
  4. Step 4: Simplify right side
    9,614.59x = 74,583,592.52
  5. Step 5: Solve for x
    x = 74,583,592.52/9,614.59
  6. Step 6: Final answer
    x = 7,757.34

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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.