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Finding the Fourth Proportional to 9,662.67, 13,234.57 and 9,095.26

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Solution

The fourth proportional to 9,662.67, 13,234.57 and 9,095.26 is: 12,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.67 : 13,234.57 = 9,095.26 : x
  2. Step 2: Convert to fraction form
    9,662.67/13,234.57 = 9,095.26/x
  3. Step 3: Cross multiply
    9,662.67x = 13,234.57 × 9,095.26
  4. Step 4: Simplify right side
    9,662.67x = 120,371,809.66
  5. Step 5: Solve for x
    x = 120,371,809.66/9,662.67
  6. Step 6: Final answer
    x = 12,457.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.