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Finding the Fourth Proportional to 9,031.10, 13,456.13 and 8,048.97

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Solution

The fourth proportional to 9,031.10, 13,456.13 and 8,048.97 is: 11,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.10 : 13,456.13 = 8,048.97 : x
  2. Step 2: Convert to fraction form
    9,031.10/13,456.13 = 8,048.97/x
  3. Step 3: Cross multiply
    9,031.10x = 13,456.13 × 8,048.97
  4. Step 4: Simplify right side
    9,031.10x = 108,307,946.44
  5. Step 5: Solve for x
    x = 108,307,946.44/9,031.10
  6. Step 6: Final answer
    x = 11,992.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.