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Finding the Fourth Proportional to 9,006.62, 13,505.67 and 5,309.37

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Solution

The fourth proportional to 9,006.62, 13,505.67 and 5,309.37 is: 7,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.62 : 13,505.67 = 5,309.37 : x
  2. Step 2: Convert to fraction form
    9,006.62/13,505.67 = 5,309.37/x
  3. Step 3: Cross multiply
    9,006.62x = 13,505.67 × 5,309.37
  4. Step 4: Simplify right side
    9,006.62x = 71,706,599.13
  5. Step 5: Solve for x
    x = 71,706,599.13/9,006.62
  6. Step 6: Final answer
    x = 7,961.55

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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.