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Finding the Fourth Proportional to 9,391.53, 14,087.30 and 3,843.63

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Solution

The fourth proportional to 9,391.53, 14,087.30 and 3,843.63 is: 5,765.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,391.53 : 14,087.30 = 3,843.63 : x
  2. Step 2: Convert to fraction form
    9,391.53/14,087.30 = 3,843.63/x
  3. Step 3: Cross multiply
    9,391.53x = 14,087.30 × 3,843.63
  4. Step 4: Simplify right side
    9,391.53x = 54,146,349.68
  5. Step 5: Solve for x
    x = 54,146,349.68/9,391.53
  6. Step 6: Final answer
    x = 5,765.45

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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.