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Finding the Fourth Proportional to 6,367.32, 9,540.72 and 3,447

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Solution

The fourth proportional to 6,367.32, 9,540.72 and 3,447 is: 5,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.32 : 9,540.72 = 3,447 : x
  2. Step 2: Convert to fraction form
    6,367.32/9,540.72 = 3,447/x
  3. Step 3: Cross multiply
    6,367.32x = 9,540.72 × 3,447
  4. Step 4: Simplify right side
    6,367.32x = 32,886,861.84
  5. Step 5: Solve for x
    x = 32,886,861.84/6,367.32
  6. Step 6: Final answer
    x = 5,164.95

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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.