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Finding the Fourth Proportional to 9,826.91, 13,559.03 and 5,847.25

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Solution

The fourth proportional to 9,826.91, 13,559.03 and 5,847.25 is: 8,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.91 : 13,559.03 = 5,847.25 : x
  2. Step 2: Convert to fraction form
    9,826.91/13,559.03 = 5,847.25/x
  3. Step 3: Cross multiply
    9,826.91x = 13,559.03 × 5,847.25
  4. Step 4: Simplify right side
    9,826.91x = 79,283,018.89
  5. Step 5: Solve for x
    x = 79,283,018.89/9,826.91
  6. Step 6: Final answer
    x = 8,067.95

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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.