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Finding the Fourth Proportional to 9,483.78, 14,215.82 and 3,940.14

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Solution

The fourth proportional to 9,483.78, 14,215.82 and 3,940.14 is: 5,906.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,483.78 : 14,215.82 = 3,940.14 : x
  2. Step 2: Convert to fraction form
    9,483.78/14,215.82 = 3,940.14/x
  3. Step 3: Cross multiply
    9,483.78x = 14,215.82 × 3,940.14
  4. Step 4: Simplify right side
    9,483.78x = 56,012,321.01
  5. Step 5: Solve for x
    x = 56,012,321.01/9,483.78
  6. Step 6: Final answer
    x = 5,906.12

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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.