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Finding the Fourth Proportional to 6,237.54, 9,353.10 and 2,076.42

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Solution

The fourth proportional to 6,237.54, 9,353.10 and 2,076.42 is: 3,113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.54 : 9,353.10 = 2,076.42 : x
  2. Step 2: Convert to fraction form
    6,237.54/9,353.10 = 2,076.42/x
  3. Step 3: Cross multiply
    6,237.54x = 9,353.10 × 2,076.42
  4. Step 4: Simplify right side
    6,237.54x = 19,420,954.15
  5. Step 5: Solve for x
    x = 19,420,954.15/6,237.54
  6. Step 6: Final answer
    x = 3,113.56

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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.