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Finding the Fourth Proportional to 9,485.96, 14,220.23 and 3,641.41

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Solution

The fourth proportional to 9,485.96, 14,220.23 and 3,641.41 is: 5,458.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.96 : 14,220.23 = 3,641.41 : x
  2. Step 2: Convert to fraction form
    9,485.96/14,220.23 = 3,641.41/x
  3. Step 3: Cross multiply
    9,485.96x = 14,220.23 × 3,641.41
  4. Step 4: Simplify right side
    9,485.96x = 51,781,687.72
  5. Step 5: Solve for x
    x = 51,781,687.72/9,485.96
  6. Step 6: Final answer
    x = 5,458.77

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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.