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Finding the Fourth Proportional to 9,640.56, 13,304.14 and 5,448.80

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Solution

The fourth proportional to 9,640.56, 13,304.14 and 5,448.80 is: 7,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.56 : 13,304.14 = 5,448.80 : x
  2. Step 2: Convert to fraction form
    9,640.56/13,304.14 = 5,448.80/x
  3. Step 3: Cross multiply
    9,640.56x = 13,304.14 × 5,448.80
  4. Step 4: Simplify right side
    9,640.56x = 72,491,598.03
  5. Step 5: Solve for x
    x = 72,491,598.03/9,640.56
  6. Step 6: Final answer
    x = 7,519.44

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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.