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Finding the Fourth Proportional to 6,433.56, 9,653.57 and 2,540.70

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Solution

The fourth proportional to 6,433.56, 9,653.57 and 2,540.70 is: 3,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.56 : 9,653.57 = 2,540.70 : x
  2. Step 2: Convert to fraction form
    6,433.56/9,653.57 = 2,540.70/x
  3. Step 3: Cross multiply
    6,433.56x = 9,653.57 × 2,540.70
  4. Step 4: Simplify right side
    6,433.56x = 24,526,825.30
  5. Step 5: Solve for x
    x = 24,526,825.30/6,433.56
  6. Step 6: Final answer
    x = 3,812.33

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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.