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Finding the Fourth Proportional to 9,208.35, 13,823.33 and 5,935.05

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Solution

The fourth proportional to 9,208.35, 13,823.33 and 5,935.05 is: 8,909.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.35 : 13,823.33 = 5,935.05 : x
  2. Step 2: Convert to fraction form
    9,208.35/13,823.33 = 5,935.05/x
  3. Step 3: Cross multiply
    9,208.35x = 13,823.33 × 5,935.05
  4. Step 4: Simplify right side
    9,208.35x = 82,042,125.04
  5. Step 5: Solve for x
    x = 82,042,125.04/9,208.35
  6. Step 6: Final answer
    x = 8,909.54

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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.