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Finding the Fourth Proportional to 6,096.65, 9,145.71 and 1,936.89

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Solution

The fourth proportional to 6,096.65, 9,145.71 and 1,936.89 is: 2,905.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.65 : 9,145.71 = 1,936.89 : x
  2. Step 2: Convert to fraction form
    6,096.65/9,145.71 = 1,936.89/x
  3. Step 3: Cross multiply
    6,096.65x = 9,145.71 × 1,936.89
  4. Step 4: Simplify right side
    6,096.65x = 17,714,234.24
  5. Step 5: Solve for x
    x = 17,714,234.24/6,096.65
  6. Step 6: Final answer
    x = 2,905.57

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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.