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Finding the Fourth Proportional to 9,566.73, 13,183.43 and 7,795.26

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Solution

The fourth proportional to 9,566.73, 13,183.43 and 7,795.26 is: 10,742.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.73 : 13,183.43 = 7,795.26 : x
  2. Step 2: Convert to fraction form
    9,566.73/13,183.43 = 7,795.26/x
  3. Step 3: Cross multiply
    9,566.73x = 13,183.43 × 7,795.26
  4. Step 4: Simplify right side
    9,566.73x = 102,768,225.57
  5. Step 5: Solve for x
    x = 102,768,225.57/9,566.73
  6. Step 6: Final answer
    x = 10,742.25

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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.