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Finding the Fourth Proportional to 6,473.40, 8,934.94 and 3,821.66

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Solution

The fourth proportional to 6,473.40, 8,934.94 and 3,821.66 is: 5,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.40 : 8,934.94 = 3,821.66 : x
  2. Step 2: Convert to fraction form
    6,473.40/8,934.94 = 3,821.66/x
  3. Step 3: Cross multiply
    6,473.40x = 8,934.94 × 3,821.66
  4. Step 4: Simplify right side
    6,473.40x = 34,146,296.41
  5. Step 5: Solve for x
    x = 34,146,296.41/6,473.40
  6. Step 6: Final answer
    x = 5,274.87

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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.