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Finding the Fourth Proportional to 10,452.54, 14,416.06 and 9,190.97

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Solution

The fourth proportional to 10,452.54, 14,416.06 and 9,190.97 is: 12,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,452.54 : 14,416.06 = 9,190.97 : x
  2. Step 2: Convert to fraction form
    10,452.54/14,416.06 = 9,190.97/x
  3. Step 3: Cross multiply
    10,452.54x = 14,416.06 × 9,190.97
  4. Step 4: Simplify right side
    10,452.54x = 132,497,456.94
  5. Step 5: Solve for x
    x = 132,497,456.94/10,452.54
  6. Step 6: Final answer
    x = 12,676.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.