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Finding the Fourth Proportional to 9,456.67, 14,180.89 and 3,215

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Solution

The fourth proportional to 9,456.67, 14,180.89 and 3,215 is: 4,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.67 : 14,180.89 = 3,215 : x
  2. Step 2: Convert to fraction form
    9,456.67/14,180.89 = 3,215/x
  3. Step 3: Cross multiply
    9,456.67x = 14,180.89 × 3,215
  4. Step 4: Simplify right side
    9,456.67x = 45,591,569.39
  5. Step 5: Solve for x
    x = 45,591,569.39/9,456.67
  6. Step 6: Final answer
    x = 4,821.10

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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.