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Finding the Fourth Proportional to 6,498.66, 9,746.98 and 2,116.09

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Solution

The fourth proportional to 6,498.66, 9,746.98 and 2,116.09 is: 3,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.66 : 9,746.98 = 2,116.09 : x
  2. Step 2: Convert to fraction form
    6,498.66/9,746.98 = 2,116.09/x
  3. Step 3: Cross multiply
    6,498.66x = 9,746.98 × 2,116.09
  4. Step 4: Simplify right side
    6,498.66x = 20,625,457.25
  5. Step 5: Solve for x
    x = 20,625,457.25/6,498.66
  6. Step 6: Final answer
    x = 3,173.80

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