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Finding the Fourth Proportional to 9,416.94, 14,123.03 and 3,871.82

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Solution

The fourth proportional to 9,416.94, 14,123.03 and 3,871.82 is: 5,806.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.94 : 14,123.03 = 3,871.82 : x
  2. Step 2: Convert to fraction form
    9,416.94/14,123.03 = 3,871.82/x
  3. Step 3: Cross multiply
    9,416.94x = 14,123.03 × 3,871.82
  4. Step 4: Simplify right side
    9,416.94x = 54,681,740.04
  5. Step 5: Solve for x
    x = 54,681,740.04/9,416.94
  6. Step 6: Final answer
    x = 5,806.74

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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.