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Finding the Fourth Proportional to 9,584.29, 13,226.11 and 5,551.28

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Solution

The fourth proportional to 9,584.29, 13,226.11 and 5,551.28 is: 7,660.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.29 : 13,226.11 = 5,551.28 : x
  2. Step 2: Convert to fraction form
    9,584.29/13,226.11 = 5,551.28/x
  3. Step 3: Cross multiply
    9,584.29x = 13,226.11 × 5,551.28
  4. Step 4: Simplify right side
    9,584.29x = 73,421,759.91
  5. Step 5: Solve for x
    x = 73,421,759.91/9,584.29
  6. Step 6: Final answer
    x = 7,660.64

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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.