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Finding the Fourth Proportional to 9,614.46, 14,413.10 and 5,174.50

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Solution

The fourth proportional to 9,614.46, 14,413.10 and 5,174.50 is: 7,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.46 : 14,413.10 = 5,174.50 : x
  2. Step 2: Convert to fraction form
    9,614.46/14,413.10 = 5,174.50/x
  3. Step 3: Cross multiply
    9,614.46x = 14,413.10 × 5,174.50
  4. Step 4: Simplify right side
    9,614.46x = 74,580,585.95
  5. Step 5: Solve for x
    x = 74,580,585.95/9,614.46
  6. Step 6: Final answer
    x = 7,757.13

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Why These Related Problems?

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