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Finding the Fourth Proportional to 9,006, 13,515.96 and 6,252

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Solution

The fourth proportional to 9,006, 13,515.96 and 6,252 is: 9,382.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006 : 13,515.96 = 6,252 : x
  2. Step 2: Convert to fraction form
    9,006/13,515.96 = 6,252/x
  3. Step 3: Cross multiply
    9,006x = 13,515.96 × 6,252
  4. Step 4: Simplify right side
    9,006x = 84,501,781.92
  5. Step 5: Solve for x
    x = 84,501,781.92/9,006
  6. Step 6: Final answer
    x = 9,382.83

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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.