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Finding the Fourth Proportional to 9,611.46, 14,419.08 and 3,764.88

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Solution

The fourth proportional to 9,611.46, 14,419.08 and 3,764.88 is: 5,648.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.46 : 14,419.08 = 3,764.88 : x
  2. Step 2: Convert to fraction form
    9,611.46/14,419.08 = 3,764.88/x
  3. Step 3: Cross multiply
    9,611.46x = 14,419.08 × 3,764.88
  4. Step 4: Simplify right side
    9,611.46x = 54,286,105.91
  5. Step 5: Solve for x
    x = 54,286,105.91/9,611.46
  6. Step 6: Final answer
    x = 5,648.06

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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.