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Finding the Fourth Proportional to 6,946.76, 10,414.92 and 3,828.08

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Solution

The fourth proportional to 6,946.76, 10,414.92 and 3,828.08 is: 5,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.76 : 10,414.92 = 3,828.08 : x
  2. Step 2: Convert to fraction form
    6,946.76/10,414.92 = 3,828.08/x
  3. Step 3: Cross multiply
    6,946.76x = 10,414.92 × 3,828.08
  4. Step 4: Simplify right side
    6,946.76x = 39,869,146.95
  5. Step 5: Solve for x
    x = 39,869,146.95/6,946.76
  6. Step 6: Final answer
    x = 5,739.24

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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.