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Finding the Fourth Proportional to 9,457.52, 14,189.96 and 3,612.80

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Solution

The fourth proportional to 9,457.52, 14,189.96 and 3,612.80 is: 5,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.52 : 14,189.96 = 3,612.80 : x
  2. Step 2: Convert to fraction form
    9,457.52/14,189.96 = 3,612.80/x
  3. Step 3: Cross multiply
    9,457.52x = 14,189.96 × 3,612.80
  4. Step 4: Simplify right side
    9,457.52x = 51,265,487.49
  5. Step 5: Solve for x
    x = 51,265,487.49/9,457.52
  6. Step 6: Final answer
    x = 5,420.61

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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.