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Finding the Fourth Proportional to 6,476.20, 8,934.10 and 3,821.84

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Solution

The fourth proportional to 6,476.20, 8,934.10 and 3,821.84 is: 5,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.20 : 8,934.10 = 3,821.84 : x
  2. Step 2: Convert to fraction form
    6,476.20/8,934.10 = 3,821.84/x
  3. Step 3: Cross multiply
    6,476.20x = 8,934.10 × 3,821.84
  4. Step 4: Simplify right side
    6,476.20x = 34,144,700.74
  5. Step 5: Solve for x
    x = 34,144,700.74/6,476.20
  6. Step 6: Final answer
    x = 5,272.34

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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.