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Finding the Fourth Proportional to 7,198.91, 9,934.09 and 4,012.01

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Solution

The fourth proportional to 7,198.91, 9,934.09 and 4,012.01 is: 5,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.91 : 9,934.09 = 4,012.01 : x
  2. Step 2: Convert to fraction form
    7,198.91/9,934.09 = 4,012.01/x
  3. Step 3: Cross multiply
    7,198.91x = 9,934.09 × 4,012.01
  4. Step 4: Simplify right side
    7,198.91x = 39,855,683.23
  5. Step 5: Solve for x
    x = 39,855,683.23/7,198.91
  6. Step 6: Final answer
    x = 5,536.35

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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.