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Finding the Fourth Proportional to 9,665.67, 13,238.67 and 9,098.26

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Solution

The fourth proportional to 9,665.67, 13,238.67 and 9,098.26 is: 12,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.67 : 13,238.67 = 9,098.26 : x
  2. Step 2: Convert to fraction form
    9,665.67/13,238.67 = 9,098.26/x
  3. Step 3: Cross multiply
    9,665.67x = 13,238.67 × 9,098.26
  4. Step 4: Simplify right side
    9,665.67x = 120,448,861.71
  5. Step 5: Solve for x
    x = 120,448,861.71/9,665.67
  6. Step 6: Final answer
    x = 12,461.51

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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.