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Finding the Fourth Proportional to 9,428.82, 14,146.92 and 2,855.67

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Solution

The fourth proportional to 9,428.82, 14,146.92 and 2,855.67 is: 4,284.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.82 : 14,146.92 = 2,855.67 : x
  2. Step 2: Convert to fraction form
    9,428.82/14,146.92 = 2,855.67/x
  3. Step 3: Cross multiply
    9,428.82x = 14,146.92 × 2,855.67
  4. Step 4: Simplify right side
    9,428.82x = 40,398,935.04
  5. Step 5: Solve for x
    x = 40,398,935.04/9,428.82
  6. Step 6: Final answer
    x = 4,284.62

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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.