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Finding the Fourth Proportional to 6,914.42, 9,541.82 and 3,770.54

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Solution

The fourth proportional to 6,914.42, 9,541.82 and 3,770.54 is: 5,203.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.42 : 9,541.82 = 3,770.54 : x
  2. Step 2: Convert to fraction form
    6,914.42/9,541.82 = 3,770.54/x
  3. Step 3: Cross multiply
    6,914.42x = 9,541.82 × 3,770.54
  4. Step 4: Simplify right side
    6,914.42x = 35,977,795.13
  5. Step 5: Solve for x
    x = 35,977,795.13/6,914.42
  6. Step 6: Final answer
    x = 5,203.30

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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.