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Finding the Fourth Proportional to 6,561.74, 9,055.40 and 3,577.64

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Solution

The fourth proportional to 6,561.74, 9,055.40 and 3,577.64 is: 4,937.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.74 : 9,055.40 = 3,577.64 : x
  2. Step 2: Convert to fraction form
    6,561.74/9,055.40 = 3,577.64/x
  3. Step 3: Cross multiply
    6,561.74x = 9,055.40 × 3,577.64
  4. Step 4: Simplify right side
    6,561.74x = 32,396,898.09
  5. Step 5: Solve for x
    x = 32,396,898.09/6,561.74
  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.