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Finding the Fourth Proportional to 9,566.83, 14,350.23 and 2,641.31

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Solution

The fourth proportional to 9,566.83, 14,350.23 and 2,641.31 is: 3,961.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.83 : 14,350.23 = 2,641.31 : x
  2. Step 2: Convert to fraction form
    9,566.83/14,350.23 = 2,641.31/x
  3. Step 3: Cross multiply
    9,566.83x = 14,350.23 × 2,641.31
  4. Step 4: Simplify right side
    9,566.83x = 37,903,435.27
  5. Step 5: Solve for x
    x = 37,903,435.27/9,566.83
  6. Step 6: Final answer
    x = 3,961.96

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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.