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Finding the Fourth Proportional to 9,601.77, 13,249.89 and 5,352.60

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Solution

The fourth proportional to 9,601.77, 13,249.89 and 5,352.60 is: 7,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.77 : 13,249.89 = 5,352.60 : x
  2. Step 2: Convert to fraction form
    9,601.77/13,249.89 = 5,352.60/x
  3. Step 3: Cross multiply
    9,601.77x = 13,249.89 × 5,352.60
  4. Step 4: Simplify right side
    9,601.77x = 70,921,361.21
  5. Step 5: Solve for x
    x = 70,921,361.21/9,601.77
  6. Step 6: Final answer
    x = 7,386.28

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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.