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Finding the Fourth Proportional to 6,930.39, 9,562.83 and 3,946.28

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Solution

The fourth proportional to 6,930.39, 9,562.83 and 3,946.28 is: 5,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.39 : 9,562.83 = 3,946.28 : x
  2. Step 2: Convert to fraction form
    6,930.39/9,562.83 = 3,946.28/x
  3. Step 3: Cross multiply
    6,930.39x = 9,562.83 × 3,946.28
  4. Step 4: Simplify right side
    6,930.39x = 37,737,604.77
  5. Step 5: Solve for x
    x = 37,737,604.77/6,930.39
  6. Step 6: Final answer
    x = 5,445.24

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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.