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Finding the Fourth Proportional to 8,343.84, 12,531.96 and 6,143.88

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Solution

The fourth proportional to 8,343.84, 12,531.96 and 6,143.88 is: 9,227.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.84 : 12,531.96 = 6,143.88 : x
  2. Step 2: Convert to fraction form
    8,343.84/12,531.96 = 6,143.88/x
  3. Step 3: Cross multiply
    8,343.84x = 12,531.96 × 6,143.88
  4. Step 4: Simplify right side
    8,343.84x = 76,994,858.40
  5. Step 5: Solve for x
    x = 76,994,858.40/8,343.84
  6. Step 6: Final answer
    x = 9,227.75

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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.