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Finding the Fourth Proportional to 8,417.39, 12,614.75 and 3,220.43

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Solution

The fourth proportional to 8,417.39, 12,614.75 and 3,220.43 is: 4,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.39 : 12,614.75 = 3,220.43 : x
  2. Step 2: Convert to fraction form
    8,417.39/12,614.75 = 3,220.43/x
  3. Step 3: Cross multiply
    8,417.39x = 12,614.75 × 3,220.43
  4. Step 4: Simplify right side
    8,417.39x = 40,624,903.24
  5. Step 5: Solve for x
    x = 40,624,903.24/8,417.39
  6. Step 6: Final answer
    x = 4,826.31

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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.