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Finding the Fourth Proportional to 9,872.39, 13,622.57 and 6,340.38

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Solution

The fourth proportional to 9,872.39, 13,622.57 and 6,340.38 is: 8,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.39 : 13,622.57 = 6,340.38 : x
  2. Step 2: Convert to fraction form
    9,872.39/13,622.57 = 6,340.38/x
  3. Step 3: Cross multiply
    9,872.39x = 13,622.57 × 6,340.38
  4. Step 4: Simplify right side
    9,872.39x = 86,372,238.67
  5. Step 5: Solve for x
    x = 86,372,238.67/9,872.39
  6. Step 6: Final answer
    x = 8,748.87

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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.