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Finding the Fourth Proportional to 6,123.65, 9,182.10 and 1,905.76

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Solution

The fourth proportional to 6,123.65, 9,182.10 and 1,905.76 is: 2,857.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.65 : 9,182.10 = 1,905.76 : x
  2. Step 2: Convert to fraction form
    6,123.65/9,182.10 = 1,905.76/x
  3. Step 3: Cross multiply
    6,123.65x = 9,182.10 × 1,905.76
  4. Step 4: Simplify right side
    6,123.65x = 17,498,878.90
  5. Step 5: Solve for x
    x = 17,498,878.90/6,123.65
  6. Step 6: Final answer
    x = 2,857.59

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