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Finding the Fourth Proportional to 6,940.63, 9,581.77 and 4,675.22

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Solution

The fourth proportional to 6,940.63, 9,581.77 and 4,675.22 is: 6,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.63 : 9,581.77 = 4,675.22 : x
  2. Step 2: Convert to fraction form
    6,940.63/9,581.77 = 4,675.22/x
  3. Step 3: Cross multiply
    6,940.63x = 9,581.77 × 4,675.22
  4. Step 4: Simplify right side
    6,940.63x = 44,796,882.74
  5. Step 5: Solve for x
    x = 44,796,882.74/6,940.63
  6. Step 6: Final answer
    x = 6,454.30

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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.