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Finding the Fourth Proportional to 9,413.96, 14,116.56 and 3,490.61

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Solution

The fourth proportional to 9,413.96, 14,116.56 and 3,490.61 is: 5,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.96 : 14,116.56 = 3,490.61 : x
  2. Step 2: Convert to fraction form
    9,413.96/14,116.56 = 3,490.61/x
  3. Step 3: Cross multiply
    9,413.96x = 14,116.56 × 3,490.61
  4. Step 4: Simplify right side
    9,413.96x = 49,275,420.87
  5. Step 5: Solve for x
    x = 49,275,420.87/9,413.96
  6. Step 6: Final answer
    x = 5,234.29

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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.