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Finding the Fourth Proportional to 9,072.86, 12,519.03 and 5,709.80

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Solution

The fourth proportional to 9,072.86, 12,519.03 and 5,709.80 is: 7,878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.86 : 12,519.03 = 5,709.80 : x
  2. Step 2: Convert to fraction form
    9,072.86/12,519.03 = 5,709.80/x
  3. Step 3: Cross multiply
    9,072.86x = 12,519.03 × 5,709.80
  4. Step 4: Simplify right side
    9,072.86x = 71,481,157.49
  5. Step 5: Solve for x
    x = 71,481,157.49/9,072.86
  6. Step 6: Final answer
    x = 7,878.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.