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Finding the Fourth Proportional to 6,306.67, 9,461.38 and 1,924.01

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Solution

The fourth proportional to 6,306.67, 9,461.38 and 1,924.01 is: 2,886.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.67 : 9,461.38 = 1,924.01 : x
  2. Step 2: Convert to fraction form
    6,306.67/9,461.38 = 1,924.01/x
  3. Step 3: Cross multiply
    6,306.67x = 9,461.38 × 1,924.01
  4. Step 4: Simplify right side
    6,306.67x = 18,203,789.73
  5. Step 5: Solve for x
    x = 18,203,789.73/6,306.67
  6. Step 6: Final answer
    x = 2,886.43

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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.