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Finding the Fourth Proportional to 9,072.96, 13,609.20 and 2,499.60

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Solution

The fourth proportional to 9,072.96, 13,609.20 and 2,499.60 is: 3,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.96 : 13,609.20 = 2,499.60 : x
  2. Step 2: Convert to fraction form
    9,072.96/13,609.20 = 2,499.60/x
  3. Step 3: Cross multiply
    9,072.96x = 13,609.20 × 2,499.60
  4. Step 4: Simplify right side
    9,072.96x = 34,017,556.32
  5. Step 5: Solve for x
    x = 34,017,556.32/9,072.96
  6. Step 6: Final answer
    x = 3,749.33

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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.