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Finding the Fourth Proportional to 9,395.46, 14,093.82 and 2,821.68

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Solution

The fourth proportional to 9,395.46, 14,093.82 and 2,821.68 is: 4,232.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.46 : 14,093.82 = 2,821.68 : x
  2. Step 2: Convert to fraction form
    9,395.46/14,093.82 = 2,821.68/x
  3. Step 3: Cross multiply
    9,395.46x = 14,093.82 × 2,821.68
  4. Step 4: Simplify right side
    9,395.46x = 39,768,250.02
  5. Step 5: Solve for x
    x = 39,768,250.02/9,395.46
  6. Step 6: Final answer
    x = 4,232.71

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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.