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Finding the Fourth Proportional to 9,644.80, 14,464.05 and 3,403.75

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Solution

The fourth proportional to 9,644.80, 14,464.05 and 3,403.75 is: 5,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.80 : 14,464.05 = 3,403.75 : x
  2. Step 2: Convert to fraction form
    9,644.80/14,464.05 = 3,403.75/x
  3. Step 3: Cross multiply
    9,644.80x = 14,464.05 × 3,403.75
  4. Step 4: Simplify right side
    9,644.80x = 49,232,010.19
  5. Step 5: Solve for x
    x = 49,232,010.19/9,644.80
  6. Step 6: Final answer
    x = 5,104.51

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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.