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Finding the Fourth Proportional to 6,659.06, 9,189.47 and 3,634.16

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Solution

The fourth proportional to 6,659.06, 9,189.47 and 3,634.16 is: 5,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,659.06 : 9,189.47 = 3,634.16 : x
  2. Step 2: Convert to fraction form
    6,659.06/9,189.47 = 3,634.16/x
  3. Step 3: Cross multiply
    6,659.06x = 9,189.47 × 3,634.16
  4. Step 4: Simplify right side
    6,659.06x = 33,395,967.43
  5. Step 5: Solve for x
    x = 33,395,967.43/6,659.06
  6. Step 6: Final answer
    x = 5,015.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.