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Finding the Fourth Proportional to 9,821.96, 14,698.92 and 9,413.72

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Solution

The fourth proportional to 9,821.96, 14,698.92 and 9,413.72 is: 14,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.96 : 14,698.92 = 9,413.72 : x
  2. Step 2: Convert to fraction form
    9,821.96/14,698.92 = 9,413.72/x
  3. Step 3: Cross multiply
    9,821.96x = 14,698.92 × 9,413.72
  4. Step 4: Simplify right side
    9,821.96x = 138,371,517.18
  5. Step 5: Solve for x
    x = 138,371,517.18/9,821.96
  6. Step 6: Final answer
    x = 14,087.97

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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.