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Finding the Fourth Proportional to 9,139.80, 13,709.67 and 2,983.80

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Solution

The fourth proportional to 9,139.80, 13,709.67 and 2,983.80 is: 4,475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.80 : 13,709.67 = 2,983.80 : x
  2. Step 2: Convert to fraction form
    9,139.80/13,709.67 = 2,983.80/x
  3. Step 3: Cross multiply
    9,139.80x = 13,709.67 × 2,983.80
  4. Step 4: Simplify right side
    9,139.80x = 40,906,913.35
  5. Step 5: Solve for x
    x = 40,906,913.35/9,139.80
  6. Step 6: Final answer
    x = 4,475.69

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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.