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Finding the Fourth Proportional to 9,948.62, 13,730.42 and 6,422.09

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Solution

The fourth proportional to 9,948.62, 13,730.42 and 6,422.09 is: 8,863.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.62 : 13,730.42 = 6,422.09 : x
  2. Step 2: Convert to fraction form
    9,948.62/13,730.42 = 6,422.09/x
  3. Step 3: Cross multiply
    9,948.62x = 13,730.42 × 6,422.09
  4. Step 4: Simplify right side
    9,948.62x = 88,177,940.38
  5. Step 5: Solve for x
    x = 88,177,940.38/9,948.62
  6. Step 6: Final answer
    x = 8,863.33

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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.