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Finding the Fourth Proportional to 6,082.16, 9,123.60 and 1,922.32

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Solution

The fourth proportional to 6,082.16, 9,123.60 and 1,922.32 is: 2,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.16 : 9,123.60 = 1,922.32 : x
  2. Step 2: Convert to fraction form
    6,082.16/9,123.60 = 1,922.32/x
  3. Step 3: Cross multiply
    6,082.16x = 9,123.60 × 1,922.32
  4. Step 4: Simplify right side
    6,082.16x = 17,538,478.75
  5. Step 5: Solve for x
    x = 17,538,478.75/6,082.16
  6. Step 6: Final answer
    x = 2,883.59

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