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Finding the Fourth Proportional to 6,734.80, 9,293.70 and 4,219.48

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Solution

The fourth proportional to 6,734.80, 9,293.70 and 4,219.48 is: 5,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.80 : 9,293.70 = 4,219.48 : x
  2. Step 2: Convert to fraction form
    6,734.80/9,293.70 = 4,219.48/x
  3. Step 3: Cross multiply
    6,734.80x = 9,293.70 × 4,219.48
  4. Step 4: Simplify right side
    6,734.80x = 39,214,581.28
  5. Step 5: Solve for x
    x = 39,214,581.28/6,734.80
  6. Step 6: Final answer
    x = 5,822.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.