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Finding the Fourth Proportional to 9,414.51, 14,123.84 and 3,571.17

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Solution

The fourth proportional to 9,414.51, 14,123.84 and 3,571.17 is: 5,357.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.51 : 14,123.84 = 3,571.17 : x
  2. Step 2: Convert to fraction form
    9,414.51/14,123.84 = 3,571.17/x
  3. Step 3: Cross multiply
    9,414.51x = 14,123.84 × 3,571.17
  4. Step 4: Simplify right side
    9,414.51x = 50,438,615.84
  5. Step 5: Solve for x
    x = 50,438,615.84/9,414.51
  6. Step 6: Final answer
    x = 5,357.54

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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.