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Finding the Fourth Proportional to 9,640.56, 13,301.72 and 5,448.24

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Solution

The fourth proportional to 9,640.56, 13,301.72 and 5,448.24 is: 7,517.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.56 : 13,301.72 = 5,448.24 : x
  2. Step 2: Convert to fraction form
    9,640.56/13,301.72 = 5,448.24/x
  3. Step 3: Cross multiply
    9,640.56x = 13,301.72 × 5,448.24
  4. Step 4: Simplify right side
    9,640.56x = 72,470,962.97
  5. Step 5: Solve for x
    x = 72,470,962.97/9,640.56
  6. Step 6: Final answer
    x = 7,517.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.