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Finding the Fourth Proportional to 6,365.79, 9,546.86 and 3,867.75

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Solution

The fourth proportional to 6,365.79, 9,546.86 and 3,867.75 is: 5,800.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.79 : 9,546.86 = 3,867.75 : x
  2. Step 2: Convert to fraction form
    6,365.79/9,546.86 = 3,867.75/x
  3. Step 3: Cross multiply
    6,365.79x = 9,546.86 × 3,867.75
  4. Step 4: Simplify right side
    6,365.79x = 36,924,877.43
  5. Step 5: Solve for x
    x = 36,924,877.43/6,365.79
  6. Step 6: Final answer
    x = 5,800.52

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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.