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Finding the Fourth Proportional to 9,601.64, 13,251.94 and 7,627.26

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Solution

The fourth proportional to 9,601.64, 13,251.94 and 7,627.26 is: 10,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.64 : 13,251.94 = 7,627.26 : x
  2. Step 2: Convert to fraction form
    9,601.64/13,251.94 = 7,627.26/x
  3. Step 3: Cross multiply
    9,601.64x = 13,251.94 × 7,627.26
  4. Step 4: Simplify right side
    9,601.64x = 101,075,991.88
  5. Step 5: Solve for x
    x = 101,075,991.88/9,601.64
  6. Step 6: Final answer
    x = 10,526.95

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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.