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Finding the Fourth Proportional to 9,806.43, 14,763.01 and 8,934.53

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Solution

The fourth proportional to 9,806.43, 14,763.01 and 8,934.53 is: 13,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.43 : 14,763.01 = 8,934.53 : x
  2. Step 2: Convert to fraction form
    9,806.43/14,763.01 = 8,934.53/x
  3. Step 3: Cross multiply
    9,806.43x = 14,763.01 × 8,934.53
  4. Step 4: Simplify right side
    9,806.43x = 131,900,555.74
  5. Step 5: Solve for x
    x = 131,900,555.74/9,806.43
  6. Step 6: Final answer
    x = 13,450.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.