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Finding the Fourth Proportional to 9,381.95, 14,068.38 and 3,833.09

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Solution

The fourth proportional to 9,381.95, 14,068.38 and 3,833.09 is: 5,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.95 : 14,068.38 = 3,833.09 : x
  2. Step 2: Convert to fraction form
    9,381.95/14,068.38 = 3,833.09/x
  3. Step 3: Cross multiply
    9,381.95x = 14,068.38 × 3,833.09
  4. Step 4: Simplify right side
    9,381.95x = 53,925,366.69
  5. Step 5: Solve for x
    x = 53,925,366.69/9,381.95
  6. Step 6: Final answer
    x = 5,747.78

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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.