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Finding the Fourth Proportional to 9,076.72, 13,615.68 and 2,413.12

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Solution

The fourth proportional to 9,076.72, 13,615.68 and 2,413.12 is: 3,619.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.72 : 13,615.68 = 2,413.12 : x
  2. Step 2: Convert to fraction form
    9,076.72/13,615.68 = 2,413.12/x
  3. Step 3: Cross multiply
    9,076.72x = 13,615.68 × 2,413.12
  4. Step 4: Simplify right side
    9,076.72x = 32,856,269.72
  5. Step 5: Solve for x
    x = 32,856,269.72/9,076.72
  6. Step 6: Final answer
    x = 3,619.84

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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.