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Finding the Fourth Proportional to 6,561.73, 9,055.13 and 3,577.57

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Solution

The fourth proportional to 6,561.73, 9,055.13 and 3,577.57 is: 4,937.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.73 : 9,055.13 = 3,577.57 : x
  2. Step 2: Convert to fraction form
    6,561.73/9,055.13 = 3,577.57/x
  3. Step 3: Cross multiply
    6,561.73x = 9,055.13 × 3,577.57
  4. Step 4: Simplify right side
    6,561.73x = 32,395,361.43
  5. Step 5: Solve for x
    x = 32,395,361.43/6,561.73
  6. Step 6: Final answer
    x = 4,937.02

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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.