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Finding the Fourth Proportional to 8,813.49, 13,214.32 and 3,471.78

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Solution

The fourth proportional to 8,813.49, 13,214.32 and 3,471.78 is: 5,205.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,813.49 : 13,214.32 = 3,471.78 : x
  2. Step 2: Convert to fraction form
    8,813.49/13,214.32 = 3,471.78/x
  3. Step 3: Cross multiply
    8,813.49x = 13,214.32 × 3,471.78
  4. Step 4: Simplify right side
    8,813.49x = 45,877,236.25
  5. Step 5: Solve for x
    x = 45,877,236.25/8,813.49
  6. Step 6: Final answer
    x = 5,205.34

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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.