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Finding the Fourth Proportional to 6,135.22, 9,205.13 and 3,671.77

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Solution

The fourth proportional to 6,135.22, 9,205.13 and 3,671.77 is: 5,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.22 : 9,205.13 = 3,671.77 : x
  2. Step 2: Convert to fraction form
    6,135.22/9,205.13 = 3,671.77/x
  3. Step 3: Cross multiply
    6,135.22x = 9,205.13 × 3,671.77
  4. Step 4: Simplify right side
    6,135.22x = 33,799,117.12
  5. Step 5: Solve for x
    x = 33,799,117.12/6,135.22
  6. Step 6: Final answer
    x = 5,509.03

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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.