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Finding the Fourth Proportional to 7,229.30, 9,976.30 and 4,085.42

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Solution

The fourth proportional to 7,229.30, 9,976.30 and 4,085.42 is: 5,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.30 : 9,976.30 = 4,085.42 : x
  2. Step 2: Convert to fraction form
    7,229.30/9,976.30 = 4,085.42/x
  3. Step 3: Cross multiply
    7,229.30x = 9,976.30 × 4,085.42
  4. Step 4: Simplify right side
    7,229.30x = 40,757,315.45
  5. Step 5: Solve for x
    x = 40,757,315.45/7,229.30
  6. Step 6: Final answer
    x = 5,637.80

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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.