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Finding the Fourth Proportional to 8,782.77, 13,154.37 and 6,161.96

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Solution

The fourth proportional to 8,782.77, 13,154.37 and 6,161.96 is: 9,229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.77 : 13,154.37 = 6,161.96 : x
  2. Step 2: Convert to fraction form
    8,782.77/13,154.37 = 6,161.96/x
  3. Step 3: Cross multiply
    8,782.77x = 13,154.37 × 6,161.96
  4. Step 4: Simplify right side
    8,782.77x = 81,056,635.99
  5. Step 5: Solve for x
    x = 81,056,635.99/8,782.77
  6. Step 6: Final answer
    x = 9,229.05

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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.