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Finding the Fourth Proportional to 9,726.82, 13,414.99 and 6,183.86

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Solution

The fourth proportional to 9,726.82, 13,414.99 and 6,183.86 is: 8,528.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.82 : 13,414.99 = 6,183.86 : x
  2. Step 2: Convert to fraction form
    9,726.82/13,414.99 = 6,183.86/x
  3. Step 3: Cross multiply
    9,726.82x = 13,414.99 × 6,183.86
  4. Step 4: Simplify right side
    9,726.82x = 82,956,420.06
  5. Step 5: Solve for x
    x = 82,956,420.06/9,726.82
  6. Step 6: Final answer
    x = 8,528.63

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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.