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Finding the Fourth Proportional to 8,739.96, 13,102.56 and 3,805.98

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Solution

The fourth proportional to 8,739.96, 13,102.56 and 3,805.98 is: 5,705.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.96 : 13,102.56 = 3,805.98 : x
  2. Step 2: Convert to fraction form
    8,739.96/13,102.56 = 3,805.98/x
  3. Step 3: Cross multiply
    8,739.96x = 13,102.56 × 3,805.98
  4. Step 4: Simplify right side
    8,739.96x = 49,868,081.31
  5. Step 5: Solve for x
    x = 49,868,081.31/8,739.96
  6. Step 6: Final answer
    x = 5,705.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.