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Finding the Fourth Proportional to 9,456.98, 13,060.13 and 7,794.86

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Solution

The fourth proportional to 9,456.98, 13,060.13 and 7,794.86 is: 10,764.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.98 : 13,060.13 = 7,794.86 : x
  2. Step 2: Convert to fraction form
    9,456.98/13,060.13 = 7,794.86/x
  3. Step 3: Cross multiply
    9,456.98x = 13,060.13 × 7,794.86
  4. Step 4: Simplify right side
    9,456.98x = 101,801,780.66
  5. Step 5: Solve for x
    x = 101,801,780.66/9,456.98
  6. Step 6: Final answer
    x = 10,764.73

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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.