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Finding the Fourth Proportional to 8,309.96, 11,456.26 and 6,637

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Solution

The fourth proportional to 8,309.96, 11,456.26 and 6,637 is: 9,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.96 : 11,456.26 = 6,637 : x
  2. Step 2: Convert to fraction form
    8,309.96/11,456.26 = 6,637/x
  3. Step 3: Cross multiply
    8,309.96x = 11,456.26 × 6,637
  4. Step 4: Simplify right side
    8,309.96x = 76,035,197.62
  5. Step 5: Solve for x
    x = 76,035,197.62/8,309.96
  6. Step 6: Final answer
    x = 9,149.89

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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.