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Finding the Fourth Proportional to 9,584.39, 14,382.09 and 5,202.23

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Solution

The fourth proportional to 9,584.39, 14,382.09 and 5,202.23 is: 7,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.39 : 14,382.09 = 5,202.23 : x
  2. Step 2: Convert to fraction form
    9,584.39/14,382.09 = 5,202.23/x
  3. Step 3: Cross multiply
    9,584.39x = 14,382.09 × 5,202.23
  4. Step 4: Simplify right side
    9,584.39x = 74,818,868.15
  5. Step 5: Solve for x
    x = 74,818,868.15/9,584.39
  6. Step 6: Final answer
    x = 7,806.32

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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.