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Finding the Fourth Proportional to 9,302.83, 14,016.30 and 8,414.39

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Solution

The fourth proportional to 9,302.83, 14,016.30 and 8,414.39 is: 12,677.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.83 : 14,016.30 = 8,414.39 : x
  2. Step 2: Convert to fraction form
    9,302.83/14,016.30 = 8,414.39/x
  3. Step 3: Cross multiply
    9,302.83x = 14,016.30 × 8,414.39
  4. Step 4: Simplify right side
    9,302.83x = 117,938,649.62
  5. Step 5: Solve for x
    x = 117,938,649.62/9,302.83
  6. Step 6: Final answer
    x = 12,677.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.