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Finding the Fourth Proportional to 6,304, 9,442.48 and 3,012.16

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Solution

The fourth proportional to 6,304, 9,442.48 and 3,012.16 is: 4,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304 : 9,442.48 = 3,012.16 : x
  2. Step 2: Convert to fraction form
    6,304/9,442.48 = 3,012.16/x
  3. Step 3: Cross multiply
    6,304x = 9,442.48 × 3,012.16
  4. Step 4: Simplify right side
    6,304x = 28,442,260.56
  5. Step 5: Solve for x
    x = 28,442,260.56/6,304
  6. Step 6: Final answer
    x = 4,511.78

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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.