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Finding the Fourth Proportional to 10,214.63, 14,093.71 and 5,963.26

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Solution

The fourth proportional to 10,214.63, 14,093.71 and 5,963.26 is: 8,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.63 : 14,093.71 = 5,963.26 : x
  2. Step 2: Convert to fraction form
    10,214.63/14,093.71 = 5,963.26/x
  3. Step 3: Cross multiply
    10,214.63x = 14,093.71 × 5,963.26
  4. Step 4: Simplify right side
    10,214.63x = 84,044,457.09
  5. Step 5: Solve for x
    x = 84,044,457.09/10,214.63
  6. Step 6: Final answer
    x = 8,227.85

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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.