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Finding the Fourth Proportional to 9,206.38, 12,703.93 and 5,227.26

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Solution

The fourth proportional to 9,206.38, 12,703.93 and 5,227.26 is: 7,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.38 : 12,703.93 = 5,227.26 : x
  2. Step 2: Convert to fraction form
    9,206.38/12,703.93 = 5,227.26/x
  3. Step 3: Cross multiply
    9,206.38x = 12,703.93 × 5,227.26
  4. Step 4: Simplify right side
    9,206.38x = 66,406,745.13
  5. Step 5: Solve for x
    x = 66,406,745.13/9,206.38
  6. Step 6: Final answer
    x = 7,213.12

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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.