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Finding the Fourth Proportional to 8,601.70, 12,902.55 and 6,414.70

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Solution

The fourth proportional to 8,601.70, 12,902.55 and 6,414.70 is: 9,622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,601.70 : 12,902.55 = 6,414.70 : x
  2. Step 2: Convert to fraction form
    8,601.70/12,902.55 = 6,414.70/x
  3. Step 3: Cross multiply
    8,601.70x = 12,902.55 × 6,414.70
  4. Step 4: Simplify right side
    8,601.70x = 82,765,987.49
  5. Step 5: Solve for x
    x = 82,765,987.49/8,601.70
  6. Step 6: Final answer
    x = 9,622.05

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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.