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Finding the Fourth Proportional to 11,730.92, 16,205.54 and 9,369.96

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Solution

The fourth proportional to 11,730.92, 16,205.54 and 9,369.96 is: 12,944.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.92 : 16,205.54 = 9,369.96 : x
  2. Step 2: Convert to fraction form
    11,730.92/16,205.54 = 9,369.96/x
  3. Step 3: Cross multiply
    11,730.92x = 16,205.54 × 9,369.96
  4. Step 4: Simplify right side
    11,730.92x = 151,845,261.58
  5. Step 5: Solve for x
    x = 151,845,261.58/11,730.92
  6. Step 6: Final answer
    x = 12,944.02

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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.