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Finding the Fourth Proportional to 9,201.36, 13,768.02 and 5,506.14

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Solution

The fourth proportional to 9,201.36, 13,768.02 and 5,506.14 is: 8,238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.36 : 13,768.02 = 5,506.14 : x
  2. Step 2: Convert to fraction form
    9,201.36/13,768.02 = 5,506.14/x
  3. Step 3: Cross multiply
    9,201.36x = 13,768.02 × 5,506.14
  4. Step 4: Simplify right side
    9,201.36x = 75,808,645.64
  5. Step 5: Solve for x
    x = 75,808,645.64/9,201.36
  6. Step 6: Final answer
    x = 8,238.85

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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.