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Finding the Fourth Proportional to 7,206.26, 9,944.45 and 4,062.38

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Solution

The fourth proportional to 7,206.26, 9,944.45 and 4,062.38 is: 5,605.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,206.26 : 9,944.45 = 4,062.38 : x
  2. Step 2: Convert to fraction form
    7,206.26/9,944.45 = 4,062.38/x
  3. Step 3: Cross multiply
    7,206.26x = 9,944.45 × 4,062.38
  4. Step 4: Simplify right side
    7,206.26x = 40,398,134.79
  5. Step 5: Solve for x
    x = 40,398,134.79/7,206.26
  6. Step 6: Final answer
    x = 5,605.98

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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.