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Finding the Fourth Proportional to 10,354.82, 15,607.99 and 9,467.38

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Solution

The fourth proportional to 10,354.82, 15,607.99 and 9,467.38 is: 14,270.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.82 : 15,607.99 = 9,467.38 : x
  2. Step 2: Convert to fraction form
    10,354.82/15,607.99 = 9,467.38/x
  3. Step 3: Cross multiply
    10,354.82x = 15,607.99 × 9,467.38
  4. Step 4: Simplify right side
    10,354.82x = 147,766,709.68
  5. Step 5: Solve for x
    x = 147,766,709.68/10,354.82
  6. Step 6: Final answer
    x = 14,270.33

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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.