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Finding the Fourth Proportional to 9,735.05, 13,431.93 and 5,485.25

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Solution

The fourth proportional to 9,735.05, 13,431.93 and 5,485.25 is: 7,568.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.05 : 13,431.93 = 5,485.25 : x
  2. Step 2: Convert to fraction form
    9,735.05/13,431.93 = 5,485.25/x
  3. Step 3: Cross multiply
    9,735.05x = 13,431.93 × 5,485.25
  4. Step 4: Simplify right side
    9,735.05x = 73,677,494.03
  5. Step 5: Solve for x
    x = 73,677,494.03/9,735.05
  6. Step 6: Final answer
    x = 7,568.27

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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.