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Finding the Fourth Proportional to 6,952.14, 10,420.96 and 3,439.96

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Solution

The fourth proportional to 6,952.14, 10,420.96 and 3,439.96 is: 5,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.14 : 10,420.96 = 3,439.96 : x
  2. Step 2: Convert to fraction form
    6,952.14/10,420.96 = 3,439.96/x
  3. Step 3: Cross multiply
    6,952.14x = 10,420.96 × 3,439.96
  4. Step 4: Simplify right side
    6,952.14x = 35,847,659.51
  5. Step 5: Solve for x
    x = 35,847,659.51/6,952.14
  6. Step 6: Final answer
    x = 5,156.35

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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.