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Finding the Fourth Proportional to 8,622.34, 12,922.67 and 3,686.18

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Solution

The fourth proportional to 8,622.34, 12,922.67 and 3,686.18 is: 5,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,622.34 : 12,922.67 = 3,686.18 : x
  2. Step 2: Convert to fraction form
    8,622.34/12,922.67 = 3,686.18/x
  3. Step 3: Cross multiply
    8,622.34x = 12,922.67 × 3,686.18
  4. Step 4: Simplify right side
    8,622.34x = 47,635,232.30
  5. Step 5: Solve for x
    x = 47,635,232.30/8,622.34
  6. Step 6: Final answer
    x = 5,524.63

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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.