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Finding the Fourth Proportional to 12,734.68, 19,102.10 and 3,969.40

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Solution

The fourth proportional to 12,734.68, 19,102.10 and 3,969.40 is: 5,954.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.68 : 19,102.10 = 3,969.40 : x
  2. Step 2: Convert to fraction form
    12,734.68/19,102.10 = 3,969.40/x
  3. Step 3: Cross multiply
    12,734.68x = 19,102.10 × 3,969.40
  4. Step 4: Simplify right side
    12,734.68x = 75,823,875.74
  5. Step 5: Solve for x
    x = 75,823,875.74/12,734.68
  6. Step 6: Final answer
    x = 5,954.12

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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.