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Finding the Fourth Proportional to 6,561.82, 9,054.98 and 3,729.12

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Solution

The fourth proportional to 6,561.82, 9,054.98 and 3,729.12 is: 5,146.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.82 : 9,054.98 = 3,729.12 : x
  2. Step 2: Convert to fraction form
    6,561.82/9,054.98 = 3,729.12/x
  3. Step 3: Cross multiply
    6,561.82x = 9,054.98 × 3,729.12
  4. Step 4: Simplify right side
    6,561.82x = 33,767,107.02
  5. Step 5: Solve for x
    x = 33,767,107.02/6,561.82
  6. Step 6: Final answer
    x = 5,146.00

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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.