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Finding the Fourth Proportional to 6,274.20, 9,405.30 and 2,324.40

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Solution

The fourth proportional to 6,274.20, 9,405.30 and 2,324.40 is: 3,484.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.20 : 9,405.30 = 2,324.40 : x
  2. Step 2: Convert to fraction form
    6,274.20/9,405.30 = 2,324.40/x
  3. Step 3: Cross multiply
    6,274.20x = 9,405.30 × 2,324.40
  4. Step 4: Simplify right side
    6,274.20x = 21,861,679.32
  5. Step 5: Solve for x
    x = 21,861,679.32/6,274.20
  6. Step 6: Final answer
    x = 3,484.38

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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.