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Finding the Fourth Proportional to 6,433.49, 9,653.48 and 2,540.63

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Solution

The fourth proportional to 6,433.49, 9,653.48 and 2,540.63 is: 3,812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.49 : 9,653.48 = 2,540.63 : x
  2. Step 2: Convert to fraction form
    6,433.49/9,653.48 = 2,540.63/x
  3. Step 3: Cross multiply
    6,433.49x = 9,653.48 × 2,540.63
  4. Step 4: Simplify right side
    6,433.49x = 24,525,941.85
  5. Step 5: Solve for x
    x = 24,525,941.85/6,433.49
  6. Step 6: Final answer
    x = 3,812.23

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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.