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Finding the Fourth Proportional to 9,457.97, 14,207.62 and 8,129.37

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Solution

The fourth proportional to 9,457.97, 14,207.62 and 8,129.37 is: 12,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,457.97 : 14,207.62 = 8,129.37 : x
  2. Step 2: Convert to fraction form
    9,457.97/14,207.62 = 8,129.37/x
  3. Step 3: Cross multiply
    9,457.97x = 14,207.62 × 8,129.37
  4. Step 4: Simplify right side
    9,457.97x = 115,498,979.48
  5. Step 5: Solve for x
    x = 115,498,979.48/9,457.97
  6. Step 6: Final answer
    x = 12,211.81

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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.