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Finding the Fourth Proportional to 8,419.39, 12,628.96 and 3,738.15

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Solution

The fourth proportional to 8,419.39, 12,628.96 and 3,738.15 is: 5,607.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.39 : 12,628.96 = 3,738.15 : x
  2. Step 2: Convert to fraction form
    8,419.39/12,628.96 = 3,738.15/x
  3. Step 3: Cross multiply
    8,419.39x = 12,628.96 × 3,738.15
  4. Step 4: Simplify right side
    8,419.39x = 47,208,958.51
  5. Step 5: Solve for x
    x = 47,208,958.51/8,419.39
  6. Step 6: Final answer
    x = 5,607.17

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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.