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Finding the Fourth Proportional to 9,235.38, 13,853.04 and 2,661.60

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Solution

The fourth proportional to 9,235.38, 13,853.04 and 2,661.60 is: 3,992.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.38 : 13,853.04 = 2,661.60 : x
  2. Step 2: Convert to fraction form
    9,235.38/13,853.04 = 2,661.60/x
  3. Step 3: Cross multiply
    9,235.38x = 13,853.04 × 2,661.60
  4. Step 4: Simplify right side
    9,235.38x = 36,871,251.26
  5. Step 5: Solve for x
    x = 36,871,251.26/9,235.38
  6. Step 6: Final answer
    x = 3,992.39

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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.