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Finding the Fourth Proportional to 9,413.46, 12,995.82 and 8,416.35

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Solution

The fourth proportional to 9,413.46, 12,995.82 and 8,416.35 is: 11,619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,413.46 : 12,995.82 = 8,416.35 : x
  2. Step 2: Convert to fraction form
    9,413.46/12,995.82 = 8,416.35/x
  3. Step 3: Cross multiply
    9,413.46x = 12,995.82 × 8,416.35
  4. Step 4: Simplify right side
    9,413.46x = 109,377,369.66
  5. Step 5: Solve for x
    x = 109,377,369.66/9,413.46
  6. Step 6: Final answer
    x = 11,619.25

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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.