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Finding the Fourth Proportional to 6,939.28, 9,576.36 and 3,795.40

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Solution

The fourth proportional to 6,939.28, 9,576.36 and 3,795.40 is: 5,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.28 : 9,576.36 = 3,795.40 : x
  2. Step 2: Convert to fraction form
    6,939.28/9,576.36 = 3,795.40/x
  3. Step 3: Cross multiply
    6,939.28x = 9,576.36 × 3,795.40
  4. Step 4: Simplify right side
    6,939.28x = 36,346,116.74
  5. Step 5: Solve for x
    x = 36,346,116.74/6,939.28
  6. Step 6: Final answer
    x = 5,237.74

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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.