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Finding the Fourth Proportional to 6,242.37, 9,365.12 and 2,954.58

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Solution

The fourth proportional to 6,242.37, 9,365.12 and 2,954.58 is: 4,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.37 : 9,365.12 = 2,954.58 : x
  2. Step 2: Convert to fraction form
    6,242.37/9,365.12 = 2,954.58/x
  3. Step 3: Cross multiply
    6,242.37x = 9,365.12 × 2,954.58
  4. Step 4: Simplify right side
    6,242.37x = 27,669,957.44
  5. Step 5: Solve for x
    x = 27,669,957.44/6,242.37
  6. Step 6: Final answer
    x = 4,432.61

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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.