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Finding the Fourth Proportional to 9,561.37, 13,194.99 and 5,785.23

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Solution

The fourth proportional to 9,561.37, 13,194.99 and 5,785.23 is: 7,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.37 : 13,194.99 = 5,785.23 : x
  2. Step 2: Convert to fraction form
    9,561.37/13,194.99 = 5,785.23/x
  3. Step 3: Cross multiply
    9,561.37x = 13,194.99 × 5,785.23
  4. Step 4: Simplify right side
    9,561.37x = 76,336,023.07
  5. Step 5: Solve for x
    x = 76,336,023.07/9,561.37
  6. Step 6: Final answer
    x = 7,983.80

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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.