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Finding the Fourth Proportional to 6,093.78, 9,124.20 and 3,165.93

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Solution

The fourth proportional to 6,093.78, 9,124.20 and 3,165.93 is: 4,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.78 : 9,124.20 = 3,165.93 : x
  2. Step 2: Convert to fraction form
    6,093.78/9,124.20 = 3,165.93/x
  3. Step 3: Cross multiply
    6,093.78x = 9,124.20 × 3,165.93
  4. Step 4: Simplify right side
    6,093.78x = 28,886,578.51
  5. Step 5: Solve for x
    x = 28,886,578.51/6,093.78
  6. Step 6: Final answer
    x = 4,740.34

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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.