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Finding the Fourth Proportional to 9,205.38, 12,702.56 and 5,226.26

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Solution

The fourth proportional to 9,205.38, 12,702.56 and 5,226.26 is: 7,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.38 : 12,702.56 = 5,226.26 : x
  2. Step 2: Convert to fraction form
    9,205.38/12,702.56 = 5,226.26/x
  3. Step 3: Cross multiply
    9,205.38x = 12,702.56 × 5,226.26
  4. Step 4: Simplify right side
    9,205.38x = 66,386,791.58
  5. Step 5: Solve for x
    x = 66,386,791.58/9,205.38
  6. Step 6: Final answer
    x = 7,211.74

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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.