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Finding the Fourth Proportional to 11,746.26, 16,198.83 and 9,364.13

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Solution

The fourth proportional to 11,746.26, 16,198.83 and 9,364.13 is: 12,913.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,746.26 : 16,198.83 = 9,364.13 : x
  2. Step 2: Convert to fraction form
    11,746.26/16,198.83 = 9,364.13/x
  3. Step 3: Cross multiply
    11,746.26x = 16,198.83 × 9,364.13
  4. Step 4: Simplify right side
    11,746.26x = 151,687,990.46
  5. Step 5: Solve for x
    x = 151,687,990.46/11,746.26
  6. Step 6: Final answer
    x = 12,913.73

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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.