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Finding the Fourth Proportional to 6,304.72, 9,456.88 and 1,922

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Solution

The fourth proportional to 6,304.72, 9,456.88 and 1,922 is: 2,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.72 : 9,456.88 = 1,922 : x
  2. Step 2: Convert to fraction form
    6,304.72/9,456.88 = 1,922/x
  3. Step 3: Cross multiply
    6,304.72x = 9,456.88 × 1,922
  4. Step 4: Simplify right side
    6,304.72x = 18,176,123.36
  5. Step 5: Solve for x
    x = 18,176,123.36/6,304.72
  6. Step 6: Final answer
    x = 2,882.94

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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.