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Finding the Fourth Proportional to 11,944.44, 16,461.36 and 9,252

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Solution

The fourth proportional to 11,944.44, 16,461.36 and 9,252 is: 12,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.44 : 16,461.36 = 9,252 : x
  2. Step 2: Convert to fraction form
    11,944.44/16,461.36 = 9,252/x
  3. Step 3: Cross multiply
    11,944.44x = 16,461.36 × 9,252
  4. Step 4: Simplify right side
    11,944.44x = 152,300,502.72
  5. Step 5: Solve for x
    x = 152,300,502.72/11,944.44
  6. Step 6: Final answer
    x = 12,750.74

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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.