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Finding the Fourth Proportional to 6,385.70, 9,586.35 and 3,614.30

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Solution

The fourth proportional to 6,385.70, 9,586.35 and 3,614.30 is: 5,425.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.70 : 9,586.35 = 3,614.30 : x
  2. Step 2: Convert to fraction form
    6,385.70/9,586.35 = 3,614.30/x
  3. Step 3: Cross multiply
    6,385.70x = 9,586.35 × 3,614.30
  4. Step 4: Simplify right side
    6,385.70x = 34,647,944.81
  5. Step 5: Solve for x
    x = 34,647,944.81/6,385.70
  6. Step 6: Final answer
    x = 5,425.86

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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.