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Finding the Fourth Proportional to 9,485.75, 14,230.44 and 3,641.90

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Solution

The fourth proportional to 9,485.75, 14,230.44 and 3,641.90 is: 5,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.75 : 14,230.44 = 3,641.90 : x
  2. Step 2: Convert to fraction form
    9,485.75/14,230.44 = 3,641.90/x
  3. Step 3: Cross multiply
    9,485.75x = 14,230.44 × 3,641.90
  4. Step 4: Simplify right side
    9,485.75x = 51,825,768.28
  5. Step 5: Solve for x
    x = 51,825,768.28/9,485.75
  6. Step 6: Final answer
    x = 5,463.54

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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.