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Finding the Fourth Proportional to 9,584.56, 13,227.59 and 5,605.43

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Solution

The fourth proportional to 9,584.56, 13,227.59 and 5,605.43 is: 7,736.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.56 : 13,227.59 = 5,605.43 : x
  2. Step 2: Convert to fraction form
    9,584.56/13,227.59 = 5,605.43/x
  3. Step 3: Cross multiply
    9,584.56x = 13,227.59 × 5,605.43
  4. Step 4: Simplify right side
    9,584.56x = 74,146,301.79
  5. Step 5: Solve for x
    x = 74,146,301.79/9,584.56
  6. Step 6: Final answer
    x = 7,736.02

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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.