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Finding the Fourth Proportional to 9,177.24, 12,668.76 and 6,939.48

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Solution

The fourth proportional to 9,177.24, 12,668.76 and 6,939.48 is: 9,579.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.24 : 12,668.76 = 6,939.48 : x
  2. Step 2: Convert to fraction form
    9,177.24/12,668.76 = 6,939.48/x
  3. Step 3: Cross multiply
    9,177.24x = 12,668.76 × 6,939.48
  4. Step 4: Simplify right side
    9,177.24x = 87,914,606.64
  5. Step 5: Solve for x
    x = 87,914,606.64/9,177.24
  6. Step 6: Final answer
    x = 9,579.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.