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Finding the Fourth Proportional to 9,632, 14,441.36 and 3,789.28

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Solution

The fourth proportional to 9,632, 14,441.36 and 3,789.28 is: 5,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632 : 14,441.36 = 3,789.28 : x
  2. Step 2: Convert to fraction form
    9,632/14,441.36 = 3,789.28/x
  3. Step 3: Cross multiply
    9,632x = 14,441.36 × 3,789.28
  4. Step 4: Simplify right side
    9,632x = 54,722,356.62
  5. Step 5: Solve for x
    x = 54,722,356.62/9,632
  6. Step 6: Final answer
    x = 5,681.31

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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.