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Finding the Fourth Proportional to 9,806.94, 13,524.30 and 6,264

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Solution

The fourth proportional to 9,806.94, 13,524.30 and 6,264 is: 8,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.94 : 13,524.30 = 6,264 : x
  2. Step 2: Convert to fraction form
    9,806.94/13,524.30 = 6,264/x
  3. Step 3: Cross multiply
    9,806.94x = 13,524.30 × 6,264
  4. Step 4: Simplify right side
    9,806.94x = 84,716,215.20
  5. Step 5: Solve for x
    x = 84,716,215.20/9,806.94
  6. Step 6: Final answer
    x = 8,638.39

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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.