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Finding the Fourth Proportional to 7,022.63, 9,691.23 and 3,835.97

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Solution

The fourth proportional to 7,022.63, 9,691.23 and 3,835.97 is: 5,293.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.63 : 9,691.23 = 3,835.97 : x
  2. Step 2: Convert to fraction form
    7,022.63/9,691.23 = 3,835.97/x
  3. Step 3: Cross multiply
    7,022.63x = 9,691.23 × 3,835.97
  4. Step 4: Simplify right side
    7,022.63x = 37,175,269.81
  5. Step 5: Solve for x
    x = 37,175,269.81/7,022.63
  6. Step 6: Final answer
    x = 5,293.64

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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.