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Finding the Fourth Proportional to 11,884.46, 16,414.44 and 9,502.66

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Solution

The fourth proportional to 11,884.46, 16,414.44 and 9,502.66 is: 13,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.46 : 16,414.44 = 9,502.66 : x
  2. Step 2: Convert to fraction form
    11,884.46/16,414.44 = 9,502.66/x
  3. Step 3: Cross multiply
    11,884.46x = 16,414.44 × 9,502.66
  4. Step 4: Simplify right side
    11,884.46x = 155,980,760.34
  5. Step 5: Solve for x
    x = 155,980,760.34/11,884.46
  6. Step 6: Final answer
    x = 13,124.77

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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.