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Finding the Fourth Proportional to 9,929.96, 13,702.31 and 5,950.97

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Solution

The fourth proportional to 9,929.96, 13,702.31 and 5,950.97 is: 8,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,929.96 : 13,702.31 = 5,950.97 : x
  2. Step 2: Convert to fraction form
    9,929.96/13,702.31 = 5,950.97/x
  3. Step 3: Cross multiply
    9,929.96x = 13,702.31 × 5,950.97
  4. Step 4: Simplify right side
    9,929.96x = 81,541,937.47
  5. Step 5: Solve for x
    x = 81,541,937.47/9,929.96
  6. Step 6: Final answer
    x = 8,211.71

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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.