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Finding the Fourth Proportional to 9,635.44, 14,453.16 and 2,709.94

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Solution

The fourth proportional to 9,635.44, 14,453.16 and 2,709.94 is: 4,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.44 : 14,453.16 = 2,709.94 : x
  2. Step 2: Convert to fraction form
    9,635.44/14,453.16 = 2,709.94/x
  3. Step 3: Cross multiply
    9,635.44x = 14,453.16 × 2,709.94
  4. Step 4: Simplify right side
    9,635.44x = 39,167,160.28
  5. Step 5: Solve for x
    x = 39,167,160.28/9,635.44
  6. Step 6: Final answer
    x = 4,064.91

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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.