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Finding the Fourth Proportional to 9,414.76, 14,123.09 and 3,493.21

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Solution

The fourth proportional to 9,414.76, 14,123.09 and 3,493.21 is: 5,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.76 : 14,123.09 = 3,493.21 : x
  2. Step 2: Convert to fraction form
    9,414.76/14,123.09 = 3,493.21/x
  3. Step 3: Cross multiply
    9,414.76x = 14,123.09 × 3,493.21
  4. Step 4: Simplify right side
    9,414.76x = 49,334,919.22
  5. Step 5: Solve for x
    x = 49,334,919.22/9,414.76
  6. Step 6: Final answer
    x = 5,240.17

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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.