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Finding the Fourth Proportional to 6,972.65, 9,622.26 and 3,785.93

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Solution

The fourth proportional to 6,972.65, 9,622.26 and 3,785.93 is: 5,224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.65 : 9,622.26 = 3,785.93 : x
  2. Step 2: Convert to fraction form
    6,972.65/9,622.26 = 3,785.93/x
  3. Step 3: Cross multiply
    6,972.65x = 9,622.26 × 3,785.93
  4. Step 4: Simplify right side
    6,972.65x = 36,429,231.37
  5. Step 5: Solve for x
    x = 36,429,231.37/6,972.65
  6. Step 6: Final answer
    x = 5,224.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.