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Finding the Fourth Proportional to 9,614.56, 13,260.63 and 6,076.48

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Solution

The fourth proportional to 9,614.56, 13,260.63 and 6,076.48 is: 8,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.56 : 13,260.63 = 6,076.48 : x
  2. Step 2: Convert to fraction form
    9,614.56/13,260.63 = 6,076.48/x
  3. Step 3: Cross multiply
    9,614.56x = 13,260.63 × 6,076.48
  4. Step 4: Simplify right side
    9,614.56x = 80,577,952.98
  5. Step 5: Solve for x
    x = 80,577,952.98/9,614.56
  6. Step 6: Final answer
    x = 8,380.83

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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.