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Finding the Fourth Proportional to 6,343.10, 9,507.30 and 3,415.24

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Solution

The fourth proportional to 6,343.10, 9,507.30 and 3,415.24 is: 5,118.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.10 : 9,507.30 = 3,415.24 : x
  2. Step 2: Convert to fraction form
    6,343.10/9,507.30 = 3,415.24/x
  3. Step 3: Cross multiply
    6,343.10x = 9,507.30 × 3,415.24
  4. Step 4: Simplify right side
    6,343.10x = 32,469,711.25
  5. Step 5: Solve for x
    x = 32,469,711.25/6,343.10
  6. Step 6: Final answer
    x = 5,118.90

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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.