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Finding the Fourth Proportional to 6,914.87, 9,542.43 and 3,930.51

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Solution

The fourth proportional to 6,914.87, 9,542.43 and 3,930.51 is: 5,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.87 : 9,542.43 = 3,930.51 : x
  2. Step 2: Convert to fraction form
    6,914.87/9,542.43 = 3,930.51/x
  3. Step 3: Cross multiply
    6,914.87x = 9,542.43 × 3,930.51
  4. Step 4: Simplify right side
    6,914.87x = 37,506,589.70
  5. Step 5: Solve for x
    x = 37,506,589.70/6,914.87
  6. Step 6: Final answer
    x = 5,424.05

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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.