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Finding the Fourth Proportional to 8,948.43, 12,348.99 and 4,969.44

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Solution

The fourth proportional to 8,948.43, 12,348.99 and 4,969.44 is: 6,857.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,948.43 : 12,348.99 = 4,969.44 : x
  2. Step 2: Convert to fraction form
    8,948.43/12,348.99 = 4,969.44/x
  3. Step 3: Cross multiply
    8,948.43x = 12,348.99 × 4,969.44
  4. Step 4: Simplify right side
    8,948.43x = 61,367,564.87
  5. Step 5: Solve for x
    x = 61,367,564.87/8,948.43
  6. Step 6: Final answer
    x = 6,857.91

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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.