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Finding the Fourth Proportional to 11,946.22, 16,478.16 and 9,427.52

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Solution

The fourth proportional to 11,946.22, 16,478.16 and 9,427.52 is: 13,003.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.22 : 16,478.16 = 9,427.52 : x
  2. Step 2: Convert to fraction form
    11,946.22/16,478.16 = 9,427.52/x
  3. Step 3: Cross multiply
    11,946.22x = 16,478.16 × 9,427.52
  4. Step 4: Simplify right side
    11,946.22x = 155,348,182.96
  5. Step 5: Solve for x
    x = 155,348,182.96/11,946.22
  6. Step 6: Final answer
    x = 13,003.97

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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.