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Finding the Fourth Proportional to 9,446.25, 14,171.91 and 8,413.32

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Solution

The fourth proportional to 9,446.25, 14,171.91 and 8,413.32 is: 12,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.25 : 14,171.91 = 8,413.32 : x
  2. Step 2: Convert to fraction form
    9,446.25/14,171.91 = 8,413.32/x
  3. Step 3: Cross multiply
    9,446.25x = 14,171.91 × 8,413.32
  4. Step 4: Simplify right side
    9,446.25x = 119,232,813.84
  5. Step 5: Solve for x
    x = 119,232,813.84/9,446.25
  6. Step 6: Final answer
    x = 12,622.24

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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.