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Finding the Fourth Proportional to 6,431.83, 9,641.11 and 2,924.27

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Solution

The fourth proportional to 6,431.83, 9,641.11 and 2,924.27 is: 4,383.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.83 : 9,641.11 = 2,924.27 : x
  2. Step 2: Convert to fraction form
    6,431.83/9,641.11 = 2,924.27/x
  3. Step 3: Cross multiply
    6,431.83x = 9,641.11 × 2,924.27
  4. Step 4: Simplify right side
    6,431.83x = 28,193,208.74
  5. Step 5: Solve for x
    x = 28,193,208.74/6,431.83
  6. Step 6: Final answer
    x = 4,383.39

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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.