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Finding the Fourth Proportional to 6,283.44, 9,434.27 and 3,823.07

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Solution

The fourth proportional to 6,283.44, 9,434.27 and 3,823.07 is: 5,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.44 : 9,434.27 = 3,823.07 : x
  2. Step 2: Convert to fraction form
    6,283.44/9,434.27 = 3,823.07/x
  3. Step 3: Cross multiply
    6,283.44x = 9,434.27 × 3,823.07
  4. Step 4: Simplify right side
    6,283.44x = 36,067,837.00
  5. Step 5: Solve for x
    x = 36,067,837.00/6,283.44
  6. Step 6: Final answer
    x = 5,740.14

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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.