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Finding the Fourth Proportional to 6,466.64, 9,702.25 and 3,182.02

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Solution

The fourth proportional to 6,466.64, 9,702.25 and 3,182.02 is: 4,774.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.64 : 9,702.25 = 3,182.02 : x
  2. Step 2: Convert to fraction form
    6,466.64/9,702.25 = 3,182.02/x
  3. Step 3: Cross multiply
    6,466.64x = 9,702.25 × 3,182.02
  4. Step 4: Simplify right side
    6,466.64x = 30,872,721.33
  5. Step 5: Solve for x
    x = 30,872,721.33/6,466.64
  6. Step 6: Final answer
    x = 4,774.16

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