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Finding the Fourth Proportional to 9,712.13, 14,568.06 and 2,786.63

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Solution

The fourth proportional to 9,712.13, 14,568.06 and 2,786.63 is: 4,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.13 : 14,568.06 = 2,786.63 : x
  2. Step 2: Convert to fraction form
    9,712.13/14,568.06 = 2,786.63/x
  3. Step 3: Cross multiply
    9,712.13x = 14,568.06 × 2,786.63
  4. Step 4: Simplify right side
    9,712.13x = 40,595,793.04
  5. Step 5: Solve for x
    x = 40,595,793.04/9,712.13
  6. Step 6: Final answer
    x = 4,179.91

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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.