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Finding the Fourth Proportional to 8,142.88, 12,204.60 and 6,412.72

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Solution

The fourth proportional to 8,142.88, 12,204.60 and 6,412.72 is: 9,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.88 : 12,204.60 = 6,412.72 : x
  2. Step 2: Convert to fraction form
    8,142.88/12,204.60 = 6,412.72/x
  3. Step 3: Cross multiply
    8,142.88x = 12,204.60 × 6,412.72
  4. Step 4: Simplify right side
    8,142.88x = 78,264,682.51
  5. Step 5: Solve for x
    x = 78,264,682.51/8,142.88
  6. Step 6: Final answer
    x = 9,611.43

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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.