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Finding the Fourth Proportional to 9,564.41, 14,347.44 and 2,638.91

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Solution

The fourth proportional to 9,564.41, 14,347.44 and 2,638.91 is: 3,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.41 : 14,347.44 = 2,638.91 : x
  2. Step 2: Convert to fraction form
    9,564.41/14,347.44 = 2,638.91/x
  3. Step 3: Cross multiply
    9,564.41x = 14,347.44 × 2,638.91
  4. Step 4: Simplify right side
    9,564.41x = 37,861,517.96
  5. Step 5: Solve for x
    x = 37,861,517.96/9,564.41
  6. Step 6: Final answer
    x = 3,958.59

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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.