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Finding the Fourth Proportional to 6,930.14, 9,563.63 and 3,946.19

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Solution

The fourth proportional to 6,930.14, 9,563.63 and 3,946.19 is: 5,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.14 : 9,563.63 = 3,946.19 : x
  2. Step 2: Convert to fraction form
    6,930.14/9,563.63 = 3,946.19/x
  3. Step 3: Cross multiply
    6,930.14x = 9,563.63 × 3,946.19
  4. Step 4: Simplify right side
    6,930.14x = 37,739,833.52
  5. Step 5: Solve for x
    x = 37,739,833.52/6,930.14
  6. Step 6: Final answer
    x = 5,445.76

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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.