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Finding the Fourth Proportional to 8,454.65, 11,656.25 and 6,936.66

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Solution

The fourth proportional to 8,454.65, 11,656.25 and 6,936.66 is: 9,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.65 : 11,656.25 = 6,936.66 : x
  2. Step 2: Convert to fraction form
    8,454.65/11,656.25 = 6,936.66/x
  3. Step 3: Cross multiply
    8,454.65x = 11,656.25 × 6,936.66
  4. Step 4: Simplify right side
    8,454.65x = 80,855,506.26
  5. Step 5: Solve for x
    x = 80,855,506.26/8,454.65
  6. Step 6: Final answer
    x = 9,563.43

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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.