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Finding the Fourth Proportional to 6,474.69, 8,934.84 and 3,642.17

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Solution

The fourth proportional to 6,474.69, 8,934.84 and 3,642.17 is: 5,026.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.69 : 8,934.84 = 3,642.17 : x
  2. Step 2: Convert to fraction form
    6,474.69/8,934.84 = 3,642.17/x
  3. Step 3: Cross multiply
    6,474.69x = 8,934.84 × 3,642.17
  4. Step 4: Simplify right side
    6,474.69x = 32,542,161.53
  5. Step 5: Solve for x
    x = 32,542,161.53/6,474.69
  6. Step 6: Final answer
    x = 5,026.06

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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.