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Finding the Fourth Proportional to 6,293.04, 9,446.84 and 3,377.04

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Solution

The fourth proportional to 6,293.04, 9,446.84 and 3,377.04 is: 5,069.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.04 : 9,446.84 = 3,377.04 : x
  2. Step 2: Convert to fraction form
    6,293.04/9,446.84 = 3,377.04/x
  3. Step 3: Cross multiply
    6,293.04x = 9,446.84 × 3,377.04
  4. Step 4: Simplify right side
    6,293.04x = 31,902,356.55
  5. Step 5: Solve for x
    x = 31,902,356.55/6,293.04
  6. Step 6: Final answer
    x = 5,069.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.