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Finding the Fourth Proportional to 9,457.75, 14,188.72 and 2,884.44

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Solution

The fourth proportional to 9,457.75, 14,188.72 and 2,884.44 is: 4,327.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.75 : 14,188.72 = 2,884.44 : x
  2. Step 2: Convert to fraction form
    9,457.75/14,188.72 = 2,884.44/x
  3. Step 3: Cross multiply
    9,457.75x = 14,188.72 × 2,884.44
  4. Step 4: Simplify right side
    9,457.75x = 40,926,562.92
  5. Step 5: Solve for x
    x = 40,926,562.92/9,457.75
  6. Step 6: Final answer
    x = 4,327.31

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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.