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Finding the Fourth Proportional to 9,611.65, 14,424 and 3,371.61

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Solution

The fourth proportional to 9,611.65, 14,424 and 3,371.61 is: 5,059.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.65 : 14,424 = 3,371.61 : x
  2. Step 2: Convert to fraction form
    9,611.65/14,424 = 3,371.61/x
  3. Step 3: Cross multiply
    9,611.65x = 14,424 × 3,371.61
  4. Step 4: Simplify right side
    9,611.65x = 48,632,102.64
  5. Step 5: Solve for x
    x = 48,632,102.64/9,611.65
  6. Step 6: Final answer
    x = 5,059.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.