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Finding the Fourth Proportional to 8,412.84, 12,647.22 and 5,965.20

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Solution

The fourth proportional to 8,412.84, 12,647.22 and 5,965.20 is: 8,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.84 : 12,647.22 = 5,965.20 : x
  2. Step 2: Convert to fraction form
    8,412.84/12,647.22 = 5,965.20/x
  3. Step 3: Cross multiply
    8,412.84x = 12,647.22 × 5,965.20
  4. Step 4: Simplify right side
    8,412.84x = 75,443,196.74
  5. Step 5: Solve for x
    x = 75,443,196.74/8,412.84
  6. Step 6: Final answer
    x = 8,967.63

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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.