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Finding the Fourth Proportional to 9,195.34, 12,702.38 and 8,853.97

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Solution

The fourth proportional to 9,195.34, 12,702.38 and 8,853.97 is: 12,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.34 : 12,702.38 = 8,853.97 : x
  2. Step 2: Convert to fraction form
    9,195.34/12,702.38 = 8,853.97/x
  3. Step 3: Cross multiply
    9,195.34x = 12,702.38 × 8,853.97
  4. Step 4: Simplify right side
    9,195.34x = 112,466,450.07
  5. Step 5: Solve for x
    x = 112,466,450.07/9,195.34
  6. Step 6: Final answer
    x = 12,230.81

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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.