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Finding the Fourth Proportional to 9,578.33, 14,352.81 and 6,446.75

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Solution

The fourth proportional to 9,578.33, 14,352.81 and 6,446.75 is: 9,660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.33 : 14,352.81 = 6,446.75 : x
  2. Step 2: Convert to fraction form
    9,578.33/14,352.81 = 6,446.75/x
  3. Step 3: Cross multiply
    9,578.33x = 14,352.81 × 6,446.75
  4. Step 4: Simplify right side
    9,578.33x = 92,528,977.87
  5. Step 5: Solve for x
    x = 92,528,977.87/9,578.33
  6. Step 6: Final answer
    x = 9,660.24

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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.