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Finding the Fourth Proportional to 29,123.05, 43,675.09 and 9,397

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Solution

The fourth proportional to 29,123.05, 43,675.09 and 9,397 is: 14,092.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,123.05 : 43,675.09 = 9,397 : x
  2. Step 2: Convert to fraction form
    29,123.05/43,675.09 = 9,397/x
  3. Step 3: Cross multiply
    29,123.05x = 43,675.09 × 9,397
  4. Step 4: Simplify right side
    29,123.05x = 410,414,820.73
  5. Step 5: Solve for x
    x = 410,414,820.73/29,123.05
  6. Step 6: Final answer
    x = 14,092.44

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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.