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Finding the Fourth Proportional to 6,561.88, 9,055.23 and 3,577.77

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Solution

The fourth proportional to 6,561.88, 9,055.23 and 3,577.77 is: 4,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.88 : 9,055.23 = 3,577.77 : x
  2. Step 2: Convert to fraction form
    6,561.88/9,055.23 = 3,577.77/x
  3. Step 3: Cross multiply
    6,561.88x = 9,055.23 × 3,577.77
  4. Step 4: Simplify right side
    6,561.88x = 32,397,573.14
  5. Step 5: Solve for x
    x = 32,397,573.14/6,561.88
  6. Step 6: Final answer
    x = 4,937.24

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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.