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Finding the Fourth Proportional to 10,305.96, 14,214.93 and 6,329.27

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Solution

The fourth proportional to 10,305.96, 14,214.93 and 6,329.27 is: 8,729.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305.96 : 14,214.93 = 6,329.27 : x
  2. Step 2: Convert to fraction form
    10,305.96/14,214.93 = 6,329.27/x
  3. Step 3: Cross multiply
    10,305.96x = 14,214.93 × 6,329.27
  4. Step 4: Simplify right side
    10,305.96x = 89,970,058.93
  5. Step 5: Solve for x
    x = 89,970,058.93/10,305.96
  6. Step 6: Final answer
    x = 8,729.91

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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.