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Finding the Fourth Proportional to 9,518.02, 14,277 and 3,821.56

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Solution

The fourth proportional to 9,518.02, 14,277 and 3,821.56 is: 5,732.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,518.02 : 14,277 = 3,821.56 : x
  2. Step 2: Convert to fraction form
    9,518.02/14,277 = 3,821.56/x
  3. Step 3: Cross multiply
    9,518.02x = 14,277 × 3,821.56
  4. Step 4: Simplify right side
    9,518.02x = 54,560,412.12
  5. Step 5: Solve for x
    x = 54,560,412.12/9,518.02
  6. Step 6: Final answer
    x = 5,732.33

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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.