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Finding the Fourth Proportional to 9,098.82, 12,553.65 and 5,558.31

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Solution

The fourth proportional to 9,098.82, 12,553.65 and 5,558.31 is: 7,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.82 : 12,553.65 = 5,558.31 : x
  2. Step 2: Convert to fraction form
    9,098.82/12,553.65 = 5,558.31/x
  3. Step 3: Cross multiply
    9,098.82x = 12,553.65 × 5,558.31
  4. Step 4: Simplify right side
    9,098.82x = 69,777,078.33
  5. Step 5: Solve for x
    x = 69,777,078.33/9,098.82
  6. Step 6: Final answer
    x = 7,668.81

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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.