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Finding the Fourth Proportional to 8,309.70, 12,476.70 and 5,855.40

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Solution

The fourth proportional to 8,309.70, 12,476.70 and 5,855.40 is: 8,791.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.70 : 12,476.70 = 5,855.40 : x
  2. Step 2: Convert to fraction form
    8,309.70/12,476.70 = 5,855.40/x
  3. Step 3: Cross multiply
    8,309.70x = 12,476.70 × 5,855.40
  4. Step 4: Simplify right side
    8,309.70x = 73,056,069.18
  5. Step 5: Solve for x
    x = 73,056,069.18/8,309.70
  6. Step 6: Final answer
    x = 8,791.66

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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.