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Finding the Fourth Proportional to 7,742.64, 11,598.84 and 6,185.88

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Solution

The fourth proportional to 7,742.64, 11,598.84 and 6,185.88 is: 9,266.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,742.64 : 11,598.84 = 6,185.88 : x
  2. Step 2: Convert to fraction form
    7,742.64/11,598.84 = 6,185.88/x
  3. Step 3: Cross multiply
    7,742.64x = 11,598.84 × 6,185.88
  4. Step 4: Simplify right side
    7,742.64x = 71,749,032.38
  5. Step 5: Solve for x
    x = 71,749,032.38/7,742.64
  6. Step 6: Final answer
    x = 9,266.74

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