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Finding the Fourth Proportional to 9,777.44, 14,667.92 and 3,203.96

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Solution

The fourth proportional to 9,777.44, 14,667.92 and 3,203.96 is: 4,806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.44 : 14,667.92 = 3,203.96 : x
  2. Step 2: Convert to fraction form
    9,777.44/14,667.92 = 3,203.96/x
  3. Step 3: Cross multiply
    9,777.44x = 14,667.92 × 3,203.96
  4. Step 4: Simplify right side
    9,777.44x = 46,995,428.96
  5. Step 5: Solve for x
    x = 46,995,428.96/9,777.44
  6. Step 6: Final answer
    x = 4,806.52

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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.