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Finding the Fourth Proportional to 6,770.05, 9,341.85 and 3,744.76

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Solution

The fourth proportional to 6,770.05, 9,341.85 and 3,744.76 is: 5,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.05 : 9,341.85 = 3,744.76 : x
  2. Step 2: Convert to fraction form
    6,770.05/9,341.85 = 3,744.76/x
  3. Step 3: Cross multiply
    6,770.05x = 9,341.85 × 3,744.76
  4. Step 4: Simplify right side
    6,770.05x = 34,982,986.21
  5. Step 5: Solve for x
    x = 34,982,986.21/6,770.05
  6. Step 6: Final answer
    x = 5,167.32

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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.