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Finding the Fourth Proportional to 8,709.34, 12,018.63 and 6,361.42

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Solution

The fourth proportional to 8,709.34, 12,018.63 and 6,361.42 is: 8,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,709.34 : 12,018.63 = 6,361.42 : x
  2. Step 2: Convert to fraction form
    8,709.34/12,018.63 = 6,361.42/x
  3. Step 3: Cross multiply
    8,709.34x = 12,018.63 × 6,361.42
  4. Step 4: Simplify right side
    8,709.34x = 76,455,553.25
  5. Step 5: Solve for x
    x = 76,455,553.25/8,709.34
  6. Step 6: Final answer
    x = 8,778.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.