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Finding the Fourth Proportional to 6,523.64, 9,785.34 and 2,627.95

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Solution

The fourth proportional to 6,523.64, 9,785.34 and 2,627.95 is: 3,941.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.64 : 9,785.34 = 2,627.95 : x
  2. Step 2: Convert to fraction form
    6,523.64/9,785.34 = 2,627.95/x
  3. Step 3: Cross multiply
    6,523.64x = 9,785.34 × 2,627.95
  4. Step 4: Simplify right side
    6,523.64x = 25,715,335.33
  5. Step 5: Solve for x
    x = 25,715,335.33/6,523.64
  6. Step 6: Final answer
    x = 3,941.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.