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Finding the Fourth Proportional to 9,789.72, 13,487 and 8,010.96

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Solution

The fourth proportional to 9,789.72, 13,487 and 8,010.96 is: 11,036.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.72 : 13,487 = 8,010.96 : x
  2. Step 2: Convert to fraction form
    9,789.72/13,487 = 8,010.96/x
  3. Step 3: Cross multiply
    9,789.72x = 13,487 × 8,010.96
  4. Step 4: Simplify right side
    9,789.72x = 108,043,817.52
  5. Step 5: Solve for x
    x = 108,043,817.52/9,789.72
  6. Step 6: Final answer
    x = 11,036.46

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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.