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Finding the Fourth Proportional to 10,422.68, 14,383.01 and 5,946.34

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Solution

The fourth proportional to 10,422.68, 14,383.01 and 5,946.34 is: 8,205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.68 : 14,383.01 = 5,946.34 : x
  2. Step 2: Convert to fraction form
    10,422.68/14,383.01 = 5,946.34/x
  3. Step 3: Cross multiply
    10,422.68x = 14,383.01 × 5,946.34
  4. Step 4: Simplify right side
    10,422.68x = 85,526,267.68
  5. Step 5: Solve for x
    x = 85,526,267.68/10,422.68
  6. Step 6: Final answer
    x = 8,205.78

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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.