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Finding the Fourth Proportional to 9,806.67, 14,708.49 and 2,787.01

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Solution

The fourth proportional to 9,806.67, 14,708.49 and 2,787.01 is: 4,180.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.67 : 14,708.49 = 2,787.01 : x
  2. Step 2: Convert to fraction form
    9,806.67/14,708.49 = 2,787.01/x
  3. Step 3: Cross multiply
    9,806.67x = 14,708.49 × 2,787.01
  4. Step 4: Simplify right side
    9,806.67x = 40,992,661.49
  5. Step 5: Solve for x
    x = 40,992,661.49/9,806.67
  6. Step 6: Final answer
    x = 4,180.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.