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Finding the Fourth Proportional to 9,205.34, 13,807.67 and 2,965.68

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Solution

The fourth proportional to 9,205.34, 13,807.67 and 2,965.68 is: 4,448.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.34 : 13,807.67 = 2,965.68 : x
  2. Step 2: Convert to fraction form
    9,205.34/13,807.67 = 2,965.68/x
  3. Step 3: Cross multiply
    9,205.34x = 13,807.67 × 2,965.68
  4. Step 4: Simplify right side
    9,205.34x = 40,949,115.94
  5. Step 5: Solve for x
    x = 40,949,115.94/9,205.34
  6. Step 6: Final answer
    x = 4,448.41

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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.