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Finding the Fourth Proportional to 9,608.37, 13,265.61 and 7,366.09

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Solution

The fourth proportional to 9,608.37, 13,265.61 and 7,366.09 is: 10,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.37 : 13,265.61 = 7,366.09 : x
  2. Step 2: Convert to fraction form
    9,608.37/13,265.61 = 7,366.09/x
  3. Step 3: Cross multiply
    9,608.37x = 13,265.61 × 7,366.09
  4. Step 4: Simplify right side
    9,608.37x = 97,715,677.16
  5. Step 5: Solve for x
    x = 97,715,677.16/9,608.37
  6. Step 6: Final answer
    x = 10,169.85

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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.