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Finding the Fourth Proportional to 9,644.40, 14,470.20 and 3,805.08

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Solution

The fourth proportional to 9,644.40, 14,470.20 and 3,805.08 is: 5,709.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.40 : 14,470.20 = 3,805.08 : x
  2. Step 2: Convert to fraction form
    9,644.40/14,470.20 = 3,805.08/x
  3. Step 3: Cross multiply
    9,644.40x = 14,470.20 × 3,805.08
  4. Step 4: Simplify right side
    9,644.40x = 55,060,268.62
  5. Step 5: Solve for x
    x = 55,060,268.62/9,644.40
  6. Step 6: Final answer
    x = 5,709.04

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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.