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Finding the Fourth Proportional to 6,846.20, 9,431.38 and 6,512.69

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Solution

The fourth proportional to 6,846.20, 9,431.38 and 6,512.69 is: 8,971.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.20 : 9,431.38 = 6,512.69 : x
  2. Step 2: Convert to fraction form
    6,846.20/9,431.38 = 6,512.69/x
  3. Step 3: Cross multiply
    6,846.20x = 9,431.38 × 6,512.69
  4. Step 4: Simplify right side
    6,846.20x = 61,423,590.77
  5. Step 5: Solve for x
    x = 61,423,590.77/6,846.20
  6. Step 6: Final answer
    x = 8,971.92

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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.