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Finding the Fourth Proportional to 9,586.40, 14,375.46 and 3,344.54

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Solution

The fourth proportional to 9,586.40, 14,375.46 and 3,344.54 is: 5,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.40 : 14,375.46 = 3,344.54 : x
  2. Step 2: Convert to fraction form
    9,586.40/14,375.46 = 3,344.54/x
  3. Step 3: Cross multiply
    9,586.40x = 14,375.46 × 3,344.54
  4. Step 4: Simplify right side
    9,586.40x = 48,079,336.93
  5. Step 5: Solve for x
    x = 48,079,336.93/9,586.40
  6. Step 6: Final answer
    x = 5,015.37

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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.