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Finding the Fourth Proportional to 9,380.74, 14,072.99 and 3,457.66

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Solution

The fourth proportional to 9,380.74, 14,072.99 and 3,457.66 is: 5,187.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.74 : 14,072.99 = 3,457.66 : x
  2. Step 2: Convert to fraction form
    9,380.74/14,072.99 = 3,457.66/x
  3. Step 3: Cross multiply
    9,380.74x = 14,072.99 × 3,457.66
  4. Step 4: Simplify right side
    9,380.74x = 48,659,588.07
  5. Step 5: Solve for x
    x = 48,659,588.07/9,380.74
  6. Step 6: Final answer
    x = 5,187.18

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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.