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Finding the Fourth Proportional to 6,617.98, 9,132.95 and 3,634.00

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Solution

The fourth proportional to 6,617.98, 9,132.95 and 3,634.00 is: 5,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.98 : 9,132.95 = 3,634.00 : x
  2. Step 2: Convert to fraction form
    6,617.98/9,132.95 = 3,634.00/x
  3. Step 3: Cross multiply
    6,617.98x = 9,132.95 × 3,634.00
  4. Step 4: Simplify right side
    6,617.98x = 33,189,163.13
  5. Step 5: Solve for x
    x = 33,189,163.13/6,617.98
  6. Step 6: Final answer
    x = 5,015.00

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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.