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Finding the Fourth Proportional to 9,707.38, 13,391.12 and 6,120.39

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Solution

The fourth proportional to 9,707.38, 13,391.12 and 6,120.39 is: 8,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.38 : 13,391.12 = 6,120.39 : x
  2. Step 2: Convert to fraction form
    9,707.38/13,391.12 = 6,120.39/x
  3. Step 3: Cross multiply
    9,707.38x = 13,391.12 × 6,120.39
  4. Step 4: Simplify right side
    9,707.38x = 81,958,942.45
  5. Step 5: Solve for x
    x = 81,958,942.45/9,707.38
  6. Step 6: Final answer
    x = 8,442.95

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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.