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Finding the Fourth Proportional to 9,674.96, 14,518.24 and 3,519.44

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Solution

The fourth proportional to 9,674.96, 14,518.24 and 3,519.44 is: 5,281.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.96 : 14,518.24 = 3,519.44 : x
  2. Step 2: Convert to fraction form
    9,674.96/14,518.24 = 3,519.44/x
  3. Step 3: Cross multiply
    9,674.96x = 14,518.24 × 3,519.44
  4. Step 4: Simplify right side
    9,674.96x = 51,096,074.59
  5. Step 5: Solve for x
    x = 51,096,074.59/9,674.96
  6. Step 6: Final answer
    x = 5,281.27

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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.