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Finding the Fourth Proportional to 9,541.60, 14,231.68 and 8,992.80

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Solution

The fourth proportional to 9,541.60, 14,231.68 and 8,992.80 is: 13,413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.60 : 14,231.68 = 8,992.80 : x
  2. Step 2: Convert to fraction form
    9,541.60/14,231.68 = 8,992.80/x
  3. Step 3: Cross multiply
    9,541.60x = 14,231.68 × 8,992.80
  4. Step 4: Simplify right side
    9,541.60x = 127,982,651.90
  5. Step 5: Solve for x
    x = 127,982,651.90/9,541.60
  6. Step 6: Final answer
    x = 13,413.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.