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Finding the Fourth Proportional to 6,661.72, 9,189.20 and 4,305.20

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Solution

The fourth proportional to 6,661.72, 9,189.20 and 4,305.20 is: 5,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,661.72 : 9,189.20 = 4,305.20 : x
  2. Step 2: Convert to fraction form
    6,661.72/9,189.20 = 4,305.20/x
  3. Step 3: Cross multiply
    6,661.72x = 9,189.20 × 4,305.20
  4. Step 4: Simplify right side
    6,661.72x = 39,561,343.84
  5. Step 5: Solve for x
    x = 39,561,343.84/6,661.72
  6. Step 6: Final answer
    x = 5,938.61

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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.