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Finding the Fourth Proportional to 9,498.82, 13,114.56 and 8,502.40

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Solution

The fourth proportional to 9,498.82, 13,114.56 and 8,502.40 is: 11,738.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.82 : 13,114.56 = 8,502.40 : x
  2. Step 2: Convert to fraction form
    9,498.82/13,114.56 = 8,502.40/x
  3. Step 3: Cross multiply
    9,498.82x = 13,114.56 × 8,502.40
  4. Step 4: Simplify right side
    9,498.82x = 111,505,234.94
  5. Step 5: Solve for x
    x = 111,505,234.94/9,498.82
  6. Step 6: Final answer
    x = 11,738.85

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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.