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Finding the Fourth Proportional to 9,147.85, 13,723.09 and 2,823.27

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Solution

The fourth proportional to 9,147.85, 13,723.09 and 2,823.27 is: 4,235.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.85 : 13,723.09 = 2,823.27 : x
  2. Step 2: Convert to fraction form
    9,147.85/13,723.09 = 2,823.27/x
  3. Step 3: Cross multiply
    9,147.85x = 13,723.09 × 2,823.27
  4. Step 4: Simplify right side
    9,147.85x = 38,743,988.30
  5. Step 5: Solve for x
    x = 38,743,988.30/9,147.85
  6. Step 6: Final answer
    x = 4,235.31

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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.