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Finding the Fourth Proportional to 6,939.60, 9,576 and 3,956.10

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Solution

The fourth proportional to 6,939.60, 9,576 and 3,956.10 is: 5,459.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.60 : 9,576 = 3,956.10 : x
  2. Step 2: Convert to fraction form
    6,939.60/9,576 = 3,956.10/x
  3. Step 3: Cross multiply
    6,939.60x = 9,576 × 3,956.10
  4. Step 4: Simplify right side
    6,939.60x = 37,883,613.60
  5. Step 5: Solve for x
    x = 37,883,613.60/6,939.60
  6. Step 6: Final answer
    x = 5,459.05

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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.