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Finding the Fourth Proportional to 9,677.43, 14,513.41 and 3,753.90

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Solution

The fourth proportional to 9,677.43, 14,513.41 and 3,753.90 is: 5,629.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.43 : 14,513.41 = 3,753.90 : x
  2. Step 2: Convert to fraction form
    9,677.43/14,513.41 = 3,753.90/x
  3. Step 3: Cross multiply
    9,677.43x = 14,513.41 × 3,753.90
  4. Step 4: Simplify right side
    9,677.43x = 54,481,894.49
  5. Step 5: Solve for x
    x = 54,481,894.49/9,677.43
  6. Step 6: Final answer
    x = 5,629.79

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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.