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Finding the Fourth Proportional to 6,435.20, 9,652.98 and 2,274.62

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Solution

The fourth proportional to 6,435.20, 9,652.98 and 2,274.62 is: 3,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,435.20 : 9,652.98 = 2,274.62 : x
  2. Step 2: Convert to fraction form
    6,435.20/9,652.98 = 2,274.62/x
  3. Step 3: Cross multiply
    6,435.20x = 9,652.98 × 2,274.62
  4. Step 4: Simplify right side
    6,435.20x = 21,956,861.37
  5. Step 5: Solve for x
    x = 21,956,861.37/6,435.20
  6. Step 6: Final answer
    x = 3,411.99

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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.