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Finding the Fourth Proportional to 9,202.34, 13,806.77 and 3,935.13

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Solution

The fourth proportional to 9,202.34, 13,806.77 and 3,935.13 is: 5,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.34 : 13,806.77 = 3,935.13 : x
  2. Step 2: Convert to fraction form
    9,202.34/13,806.77 = 3,935.13/x
  3. Step 3: Cross multiply
    9,202.34x = 13,806.77 × 3,935.13
  4. Step 4: Simplify right side
    9,202.34x = 54,331,415.15
  5. Step 5: Solve for x
    x = 54,331,415.15/9,202.34
  6. Step 6: Final answer
    x = 5,904.09

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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.