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Finding the Fourth Proportional to 6,214.91, 9,322.65 and 1,832.40

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Solution

The fourth proportional to 6,214.91, 9,322.65 and 1,832.40 is: 2,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.91 : 9,322.65 = 1,832.40 : x
  2. Step 2: Convert to fraction form
    6,214.91/9,322.65 = 1,832.40/x
  3. Step 3: Cross multiply
    6,214.91x = 9,322.65 × 1,832.40
  4. Step 4: Simplify right side
    6,214.91x = 17,082,823.86
  5. Step 5: Solve for x
    x = 17,082,823.86/6,214.91
  6. Step 6: Final answer
    x = 2,748.69

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