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Finding the Fourth Proportional to 9,072.96, 13,596.44 and 5,169.30

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Solution

The fourth proportional to 9,072.96, 13,596.44 and 5,169.30 is: 7,746.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.96 : 13,596.44 = 5,169.30 : x
  2. Step 2: Convert to fraction form
    9,072.96/13,596.44 = 5,169.30/x
  3. Step 3: Cross multiply
    9,072.96x = 13,596.44 × 5,169.30
  4. Step 4: Simplify right side
    9,072.96x = 70,284,077.29
  5. Step 5: Solve for x
    x = 70,284,077.29/9,072.96
  6. Step 6: Final answer
    x = 7,746.54

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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.