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Finding the Fourth Proportional to 9,207.38, 12,702.14 and 6,222.12

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Solution

The fourth proportional to 9,207.38, 12,702.14 and 6,222.12 is: 8,583.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.38 : 12,702.14 = 6,222.12 : x
  2. Step 2: Convert to fraction form
    9,207.38/12,702.14 = 6,222.12/x
  3. Step 3: Cross multiply
    9,207.38x = 12,702.14 × 6,222.12
  4. Step 4: Simplify right side
    9,207.38x = 79,034,239.34
  5. Step 5: Solve for x
    x = 79,034,239.34/9,207.38
  6. Step 6: Final answer
    x = 8,583.79

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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.