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Finding the Fourth Proportional to 6,397.64, 9,589.58 and 3,103.46

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Solution

The fourth proportional to 6,397.64, 9,589.58 and 3,103.46 is: 4,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.64 : 9,589.58 = 3,103.46 : x
  2. Step 2: Convert to fraction form
    6,397.64/9,589.58 = 3,103.46/x
  3. Step 3: Cross multiply
    6,397.64x = 9,589.58 × 3,103.46
  4. Step 4: Simplify right side
    6,397.64x = 29,760,877.95
  5. Step 5: Solve for x
    x = 29,760,877.95/6,397.64
  6. Step 6: Final answer
    x = 4,651.85

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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.