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Finding the Fourth Proportional to 6,304.49, 9,456.74 and 1,921.95

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Solution

The fourth proportional to 6,304.49, 9,456.74 and 1,921.95 is: 2,882.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.49 : 9,456.74 = 1,921.95 : x
  2. Step 2: Convert to fraction form
    6,304.49/9,456.74 = 1,921.95/x
  3. Step 3: Cross multiply
    6,304.49x = 9,456.74 × 1,921.95
  4. Step 4: Simplify right side
    6,304.49x = 18,175,371.83
  5. Step 5: Solve for x
    x = 18,175,371.83/6,304.49
  6. Step 6: Final answer
    x = 2,882.93

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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.