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Finding the Fourth Proportional to 6,077.64, 9,116.58 and 1,918.32

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Solution

The fourth proportional to 6,077.64, 9,116.58 and 1,918.32 is: 2,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.64 : 9,116.58 = 1,918.32 : x
  2. Step 2: Convert to fraction form
    6,077.64/9,116.58 = 1,918.32/x
  3. Step 3: Cross multiply
    6,077.64x = 9,116.58 × 1,918.32
  4. Step 4: Simplify right side
    6,077.64x = 17,488,517.75
  5. Step 5: Solve for x
    x = 17,488,517.75/6,077.64
  6. Step 6: Final answer
    x = 2,877.52

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