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Finding the Fourth Proportional to 6,930.18, 10,385.19 and 3,959.46

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Solution

The fourth proportional to 6,930.18, 10,385.19 and 3,959.46 is: 5,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.18 : 10,385.19 = 3,959.46 : x
  2. Step 2: Convert to fraction form
    6,930.18/10,385.19 = 3,959.46/x
  3. Step 3: Cross multiply
    6,930.18x = 10,385.19 × 3,959.46
  4. Step 4: Simplify right side
    6,930.18x = 41,119,692.47
  5. Step 5: Solve for x
    x = 41,119,692.47/6,930.18
  6. Step 6: Final answer
    x = 5,933.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.