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Finding the Fourth Proportional to 9,231.05, 12,737.75 and 5,826.80

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Solution

The fourth proportional to 9,231.05, 12,737.75 and 5,826.80 is: 8,040.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.05 : 12,737.75 = 5,826.80 : x
  2. Step 2: Convert to fraction form
    9,231.05/12,737.75 = 5,826.80/x
  3. Step 3: Cross multiply
    9,231.05x = 12,737.75 × 5,826.80
  4. Step 4: Simplify right side
    9,231.05x = 74,220,228.88
  5. Step 5: Solve for x
    x = 74,220,228.88/9,231.05
  6. Step 6: Final answer
    x = 8,040.28

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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.