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Finding the Fourth Proportional to 9,691.37, 13,379.17 and 6,521.33

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Solution

The fourth proportional to 9,691.37, 13,379.17 and 6,521.33 is: 9,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.37 : 13,379.17 = 6,521.33 : x
  2. Step 2: Convert to fraction form
    9,691.37/13,379.17 = 6,521.33/x
  3. Step 3: Cross multiply
    9,691.37x = 13,379.17 × 6,521.33
  4. Step 4: Simplify right side
    9,691.37x = 87,250,032.87
  5. Step 5: Solve for x
    x = 87,250,032.87/9,691.37
  6. Step 6: Final answer
    x = 9,002.86

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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.