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Finding the Fourth Proportional to 6,914.23, 9,541.65 and 3,770.44

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Solution

The fourth proportional to 6,914.23, 9,541.65 and 3,770.44 is: 5,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.23 : 9,541.65 = 3,770.44 : x
  2. Step 2: Convert to fraction form
    6,914.23/9,541.65 = 3,770.44/x
  3. Step 3: Cross multiply
    6,914.23x = 9,541.65 × 3,770.44
  4. Step 4: Simplify right side
    6,914.23x = 35,976,218.83
  5. Step 5: Solve for x
    x = 35,976,218.83/6,914.23
  6. Step 6: Final answer
    x = 5,203.21

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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.