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Finding the Fourth Proportional to 14,297.34, 21,446.00 and 3,909.09

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Solution

The fourth proportional to 14,297.34, 21,446.00 and 3,909.09 is: 5,863.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,297.34 : 21,446.00 = 3,909.09 : x
  2. Step 2: Convert to fraction form
    14,297.34/21,446.00 = 3,909.09/x
  3. Step 3: Cross multiply
    14,297.34x = 21,446.00 × 3,909.09
  4. Step 4: Simplify right side
    14,297.34x = 83,834,324.59
  5. Step 5: Solve for x
    x = 83,834,324.59/14,297.34
  6. Step 6: Final answer
    x = 5,863.63

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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.