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Finding the Fourth Proportional to 6,473.80, 8,934.06 and 3,821.15

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Solution

The fourth proportional to 6,473.80, 8,934.06 and 3,821.15 is: 5,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.80 : 8,934.06 = 3,821.15 : x
  2. Step 2: Convert to fraction form
    6,473.80/8,934.06 = 3,821.15/x
  3. Step 3: Cross multiply
    6,473.80x = 8,934.06 × 3,821.15
  4. Step 4: Simplify right side
    6,473.80x = 34,138,319.59
  5. Step 5: Solve for x
    x = 34,138,319.59/6,473.80
  6. Step 6: Final answer
    x = 5,273.31

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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.