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Finding the Fourth Proportional to 9,635.46, 14,452.11 and 2,709.78

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Solution

The fourth proportional to 9,635.46, 14,452.11 and 2,709.78 is: 4,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.46 : 14,452.11 = 2,709.78 : x
  2. Step 2: Convert to fraction form
    9,635.46/14,452.11 = 2,709.78/x
  3. Step 3: Cross multiply
    9,635.46x = 14,452.11 × 2,709.78
  4. Step 4: Simplify right side
    9,635.46x = 39,162,038.64
  5. Step 5: Solve for x
    x = 39,162,038.64/9,635.46
  6. Step 6: Final answer
    x = 4,064.37

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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.