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Finding the Fourth Proportional to 12,503.36, 17,253.96 and 6,914

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Solution

The fourth proportional to 12,503.36, 17,253.96 and 6,914 is: 9,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.36 : 17,253.96 = 6,914 : x
  2. Step 2: Convert to fraction form
    12,503.36/17,253.96 = 6,914/x
  3. Step 3: Cross multiply
    12,503.36x = 17,253.96 × 6,914
  4. Step 4: Simplify right side
    12,503.36x = 119,293,879.44
  5. Step 5: Solve for x
    x = 119,293,879.44/12,503.36
  6. Step 6: Final answer
    x = 9,540.95

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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.