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Finding the Fourth Proportional to 9,563.34, 14,344.89 and 2,637.66

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Solution

The fourth proportional to 9,563.34, 14,344.89 and 2,637.66 is: 3,956.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.34 : 14,344.89 = 2,637.66 : x
  2. Step 2: Convert to fraction form
    9,563.34/14,344.89 = 2,637.66/x
  3. Step 3: Cross multiply
    9,563.34x = 14,344.89 × 2,637.66
  4. Step 4: Simplify right side
    9,563.34x = 37,836,942.56
  5. Step 5: Solve for x
    x = 37,836,942.56/9,563.34
  6. Step 6: Final answer
    x = 3,956.46

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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.