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Finding the Fourth Proportional to 12,638.49, 18,969.37 and 6,402.84

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Solution

The fourth proportional to 12,638.49, 18,969.37 and 6,402.84 is: 9,610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.49 : 18,969.37 = 6,402.84 : x
  2. Step 2: Convert to fraction form
    12,638.49/18,969.37 = 6,402.84/x
  3. Step 3: Cross multiply
    12,638.49x = 18,969.37 × 6,402.84
  4. Step 4: Simplify right side
    12,638.49x = 121,457,896.59
  5. Step 5: Solve for x
    x = 121,457,896.59/12,638.49
  6. Step 6: Final answer
    x = 9,610.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.