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Finding the Fourth Proportional to 9,500.31, 13,125.68 and 8,098.81

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Solution

The fourth proportional to 9,500.31, 13,125.68 and 8,098.81 is: 11,189.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.31 : 13,125.68 = 8,098.81 : x
  2. Step 2: Convert to fraction form
    9,500.31/13,125.68 = 8,098.81/x
  3. Step 3: Cross multiply
    9,500.31x = 13,125.68 × 8,098.81
  4. Step 4: Simplify right side
    9,500.31x = 106,302,388.44
  5. Step 5: Solve for x
    x = 106,302,388.44/9,500.31
  6. Step 6: Final answer
    x = 11,189.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.