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Finding the Fourth Proportional to 9,635.46, 14,453.20 and 3,788.88

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Solution

The fourth proportional to 9,635.46, 14,453.20 and 3,788.88 is: 5,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.46 : 14,453.20 = 3,788.88 : x
  2. Step 2: Convert to fraction form
    9,635.46/14,453.20 = 3,788.88/x
  3. Step 3: Cross multiply
    9,635.46x = 14,453.20 × 3,788.88
  4. Step 4: Simplify right side
    9,635.46x = 54,761,440.42
  5. Step 5: Solve for x
    x = 54,761,440.42/9,635.46
  6. Step 6: Final answer
    x = 5,683.32

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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.