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Finding the Fourth Proportional to 8,786.76, 13,165.50 and 6,184.23

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Solution

The fourth proportional to 8,786.76, 13,165.50 and 6,184.23 is: 9,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786.76 : 13,165.50 = 6,184.23 : x
  2. Step 2: Convert to fraction form
    8,786.76/13,165.50 = 6,184.23/x
  3. Step 3: Cross multiply
    8,786.76x = 13,165.50 × 6,184.23
  4. Step 4: Simplify right side
    8,786.76x = 81,418,480.07
  5. Step 5: Solve for x
    x = 81,418,480.07/8,786.76
  6. Step 6: Final answer
    x = 9,266.04

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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.